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One document matched: draft-oiwa-httpauth-mutual-algo-01.ps
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%%Title: Mutual Authentication Protocol for HTTP: KAM3-based Cryptographic Algorithms
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22 -13.2 M
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11 0 Nf
2.0859375 0 32 0 0 (iso-kam3-ec-p256-sha256: for the 256-bit prime-field elliptic-curve setting with the SHA-256) A
22 -26.4 M
11 0 Nf
(hash function. ) S
11 -37 M
gsave
0 setgray
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11.0 -36.97 2.75 0 360 arc
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22 -40.6 M
2.0859375 0 32 0 0 (iso-kam3-ec-p521-sha512: for the 521-bit prime-field elliptic-curve setting with the SHA-512) A
22 -53.8 M
(hash ) S
(function.) S
0 -78 M
1.56119788 0 32 0 0 (For discrete-logarithm settings, the underlying groups are the 2048-bit and 4096-bit MODP groups) A
0 -91.2 M
1.51412261 0 32 0 0 (defined in ) A
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50.1 -92.3 M
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1.51412261 0 32 0 0 ([RFC3526]) A
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1.51412261 0 32 0 0 (, respectively. See ) A
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187.5 -92.3 M
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1.51412261 0 32 0 0 (Appendix\240A) A
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1.51412261 0 32 0 0 ( for the exact specifications of the groups and) A
0 -104.4 M
0.0911458358 0 32 0 0 (associated parameters. The hash functions H are SHA-256 for the 2048-bit group and SHA-512 for the) A
0 -117.6 M
0.135742188 0 32 0 0 (4096-bit group, respectively, defined in ) A
gsave
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177.5 -118.7 M
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0.135742188 0 32 0 0 (FIPS PUB ) A
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226.7 -118.7 M
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0.135742188 0 32 0 0 (180-2) A
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0.135742188 0 32 0 0 ( [FIPS.180-2.2002]. The representation of the) A
0 -130.8 M
(parameters kc1, ks1, vkc, and vks is base64-fixed-number. ) S
0 -155 M
0.172916666 0 32 0 0 (For the elliptic-curve settings, the underlying groups are the elliptic curves over the prime fields P-256) A
0 -168.2 M
3.006392 0 32 0 0 (and P-521, respectively, specified in the appendix\240D.1.2 of ) A
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285.2 -169.3 M
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3.006392 0 32 0 0 (FIPS PUB ) A
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340.1 -169.3 M
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3.006392 0 32 0 0 (186-3) A
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3.006392 0 32 0 0 ( [FIPS.186-3.2009]) A
0 -181.4 M
0.460156262 0 32 0 0 (specification. The hash functions H, which are referenced by the core document, are SHA-256 for the) A
0 -194.6 M
0.164899558 0 32 0 0 (P-256 curve and SHA-512 for the P-521 curve, respectively. The representation of the parameters kc1,) A
0 -207.8 M
(ks1, vkc, and vks is hex-fixed-number. ) S
0 -232 M
0.408203125 0 32 0 0 (Note: This algorithm is based on the Key Agreement Mechanism 3 \(KAM3\) defined in Section 6.3 of ) A
0 -245.2 M
gsave
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0 -246.3 M
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8.17578125 0 32 0 0 (ISO/IEC ) A
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8.17578125 0 32 0 0 (11770-4) A
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8.17578125 0 32 0 0 ( [ISO.11770-4.2006] with a few modifications/improvements. However,) A
0 -258.4 M
1.37469947 0 32 0 0 (implementers should use this document as the normative reference, because the algorithm has been) A
0 -271.6 M
(changed in several minor details as well as major improvements. ) S
0 -282.6 M
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13 2 Nf
(2.1.) S
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( Support Functions and ) S
(Notations) S
0 -322.4 M
11 0 Nf
(The algorithm definitions use several support functions and notations defined ) S
(below:) S
0 -346.6 M
(The integers in the specification are in decimal, or in hexadecimal when prefixed with ) S
("0x".) S
0 -370.8 M
3.04507208 0 32 0 0 (The functions named octet\(\), OCTETS\(\), and INT\(\) are those defined in the ) A
gsave
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373.1 -371.9 M
24.7208538 0 RL
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3.04507208 0 32 0 0 (core ) A
gsave
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397.8 -371.9 M
56.1875 0 RL
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3.04507208 0 32 0 0 (specification) A
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3.04507208 0 32 0 0 ( ) A
0 -384 M
([I-D.ietf-httpauth-mutual].) S
0 -408.2 M
2.67103791 0 32 0 0 (Note: The definition of OCTETS\(\) is different from the function GE2OS_x in the original ISO) A
0 -421.4 M
(specification, which takes the shortest representation without preceding zeros. ) S
0 -445.6 M
2.79947925 0 32 0 0 (All of the algorithms defined in this specification use the default functions defined in the core) A
0 -458.8 M
11 0 Nf
(specification for computing the values pi, ) S
(VK) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( and ) S
(VK) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(.) S
0.0 -2.2 RM
0 -472 M
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0 -487.6 M
13 2 Nf
(2.2.) S
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( Functions for Discrete-Logarithm ) S
(Settings) S
0 -511.8 M
11 0 Nf
0.519886374 0 32 0 0 (In this section, an equation \(x / y mod z\) denotes a natural number w less than z that satisfies \(w * y\)) A
0 -525 M
(mod z = x mod z. ) S
0 -549.2 M
0.05 0 32 0 0 (For the discrete-logarithm, we refer to some of the domain parameters by using the following symbols: ) A
11 -569.8 M
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11.0 -569.770081 2.75 0 360 arc
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22 -573.4 M
(q: for "the prime" defining the MODP group. ) S
11 -584 M
gsave
0 setgray
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11.0 -583.970093 2.75 0 360 arc
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22 -587.6 M
(g: for "the generator" associated with the group. ) S
11 -598.2 M
gsave
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11.0 -598.170105 2.75 0 360 arc
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22 -601.8 M
(r: for the order of the subgroup generated by ) S
(g.) S
0 -626 M
(The function J is defined as ) S
0 -637 M
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(- 3 -) S
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11 0 Nf
(J\(pi\) = g^\(pi\) mod q. ) S
0 -37.4 M
11 0 Nf
(The value of ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( is derived as ) S
0.0 -2.2 RM
0 -63.8 M
11 0 Nf
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( = ) S
(g^\(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) mod q, ) S
0.0 -2.2 RM
0 -90.2 M
11 0 Nf
0.157645091 0 32 0 0 (where ) A
0.157645091 0 32 0 0 (S) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.157645091 0 32 0 0 (c1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.157645091 0 32 0 0 ( is a random integer within range [1, r-1] and r is the size of the subgroup generated by g. In) A
0.0 -2.2 RM
0 -105.6 M
11 0 Nf
(addition, ) S
(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( MUST be larger than log\(q\)/log\(g\) \(so that ) S
(g^\(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) > q\). ) S
0.0 -2.2 RM
0 -132 M
11 0 Nf
2.4149816 0 32 0 0 (The value of ) A
2.4149816 0 32 0 0 (K) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
2.4149816 0 32 0 0 (c1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
2.4149816 0 32 0 0 ( SHALL satisfy 1 < ) A
2.4149816 0 32 0 0 (K) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
2.4149816 0 32 0 0 (c1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
2.4149816 0 32 0 0 ( < q-1. The server MUST check this condition upon) A
0.0 -2.2 RM
0 -147.4 M
(reception. ) S
0 -171.6 M
11 0 Nf
(Let an intermediate value ) S
(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( be ) S
0.0 -2.2 RM
0 -198 M
11 0 Nf
(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( = INT\(H\(octet\(1\) | ) S
(OCTETS\(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\)\)\), ) S
0.0 -2.2 RM
0 -224.4 M
11 0 Nf
(the value of ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( is derived from J\(pi\) and ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( as: ) S
0.0 -2.2 RM
0 -250.8 M
11 0 Nf
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( = \(J\(pi\) * ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(^\(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\)\)^\(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) mod q ) S
0.0 -2.2 RM
0 -277.2 M
11 0 Nf
0.092726931 0 32 0 0 (where ) A
0.092726931 0 32 0 0 (S) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.092726931 0 32 0 0 (s1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.092726931 0 32 0 0 ( is a random number within range [1, r-1]. The value of ) A
0.092726931 0 32 0 0 (K) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.092726931 0 32 0 0 (s1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.092726931 0 32 0 0 ( MUST satisfy 1 < ) A
0.092726931 0 32 0 0 (K) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.092726931 0 32 0 0 (s1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.092726931 0 32 0 0 ( < q-1. If) A
0.0 -2.2 RM
0 -292.6 M
11 0 Nf
0.291704953 0 32 0 0 (this condition is not held, the server MUST retry using another value for ) A
0.291704953 0 32 0 0 (S) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.291704953 0 32 0 0 (s1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.291704953 0 32 0 0 (. The client MUST check) A
0.0 -2.2 RM
0 -308 M
(this condition upon reception. ) S
0 -332.2 M
11 0 Nf
(Let an intermediate value ) S
(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(2) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( be ) S
0.0 -2.2 RM
0 -358.6 M
11 0 Nf
(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(2) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( = INT\(H\(octet\(2\) | ) S
(OCTETS\(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) | ) S
(OCTETS\(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\)\)\), ) S
0.0 -2.2 RM
0 -385 M
(the value z on the client side is derived by the following equation: ) S
0 -409.2 M
11 0 Nf
(z = ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(^\(\(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( + ) S
(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(2) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) / ) S
(\(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( * ) S
(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( + pi\) mod r\) mod q. ) S
0.0 -2.2 RM
0 -435.6 M
(The value z on the server side is derived by the following equation: ) S
0 -459.8 M
11 0 Nf
(z = ) S
(\(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( * ) S
(g^\(t) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(2) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\)\)^\(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(s1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) mod q. ) S
0.0 -2.2 RM
0 -473 M
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0 -473 M
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0 -488.6 M
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13 2 Nf
(2.3.) S
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( Functions for Elliptic-Curve ) S
(Settings) S
0 -512.8 M
11 0 Nf
(For the elliptic-curve setting, we refer to some of the domain parameters by the following symbols: ) S
11 -533.4 M
gsave
0 setgray
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11.0 -533.37 2.75 0 360 arc
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grestore
22 -537 M
(q: for the prime used to define the group. ) S
11 -547.6 M
gsave
0 setgray
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11.0 -547.57 2.75 0 360 arc
closepath
fill
grestore
22 -551.2 M
(G: for the defined point called the generator. ) S
11 -561.8 M
gsave
0 setgray
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11.0 -561.77 2.75 0 360 arc
closepath
fill
grestore
22 -565.4 M
(r: for the order of the subgroup generated by ) S
(G.) S
0 -589.6 M
0.547080576 0 32 0 0 (The function P\(p\) converts a curve point p into an integer representing point p, by computing x * 2 +) A
0 -602.8 M
1.34505212 0 32 0 0 (\(y mod 2\), where \(x, y\) are the coordinates of point p. P'\(z\) is the inverse of function P, that is, it) A
0 -616 M
2.06347656 0 32 0 0 (converts an integer z to a point p that satisfies P\(p\) = z. If such p exists, it is uniquely defined.) A
0 -629.2 M
0.799218774 0 32 0 0 (Otherwise, z does not represent a valid curve point. The operator + indicates the elliptic-curve group) A
0 -642.4 M
0.0770970359 0 32 0 0 (operation, and the operation [x] * p denotes an integer-multiplication of point p: it calculates p + p + ...) A
0 -655.6 M
1.2265625 0 32 0 0 (\(x times\) ... + p. See the literatures on elliptic-curve cryptography for the exact algorithms used for) A
0 -668.8 M
11 0 Nf
0.959284842 0 32 0 0 (those functions \(e.g. Section 3 of ) A
gsave
newpath
153.6 -669.9 M
50.1054688 0 RL
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grestore
0.959284842 0 32 0 0 ([RFC6090]) A
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0.959284842 0 32 0 0 (, which uses different notations, though.\) ) A
0.959284842 0 32 0 0 (0) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.959284842 0 32 0 0 (E) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.959284842 0 32 0 0 ( represents) A
0.0 -2.2 RM
0 -671 M
gsave
0 setgray
219.9 -712 M
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8 8 Nf
(- 4 -) S
0 setgray
0 -8 M
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0 0 M
0.6 setlinewidth
0 -13.2 M
%%IncludeResource: font Times-Roman
11 0 Nf
0.209635422 0 32 0 0 (the infinity point. The equation \(x / y mod z\) denotes a natural number w less than z that satisfies \(w *) A
0 -26.4 M
11 0 Nf
(y\) mod z = x mod z. ) S
0 -50.6 M
(The function J is defined as ) S
0 -74.8 M
(J\(pi\) = [pi] * G. ) S
0 -99 M
11 0 Nf
(The value of ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( is derived as ) S
0.0 -2.2 RM
0 -125.4 M
11 0 Nf
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( = ) S
(P\(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
('\), where ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(' = ) S
([S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(] * G, ) S
0.0 -2.2 RM
0 -151.8 M
11 0 Nf
0.393663198 0 32 0 0 (where ) A
0.393663198 0 32 0 0 (S) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.393663198 0 32 0 0 (c1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.393663198 0 32 0 0 ( is a random number within range [1, r-1]. The value of ) A
0.393663198 0 32 0 0 (K) A
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
0.393663198 0 32 0 0 (c1) A
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
0.393663198 0 32 0 0 ( MUST represent a valid curve) A
0.0 -2.2 RM
0 -167.2 M
11 0 Nf
(point, and ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
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0 -274.4 M
(       15728E5A 8AACAA68 FFFFFFFF FFFFFFFF.) S
0 -298.6 M
11 0 Nf
(The generator ) S
(is:) S
0 -320.4 M
9.0 4 Nf
( g = 2.) S
0 -344.6 M
11 0 Nf
(The size of the subgroup generated by g ) S
(is:) S
0 -366.4 M
9.0 4 Nf
( r = \(q - 1\) / 2 =) S
0 -377.2 M
(     0x7FFFFFFF FFFFFFFF E487ED51 10B4611A 62633145 C06E0E68) S
0 -387.9 M
(       94812704 4533E63A 0105DF53 1D89CD91 28A5043C C71A026E) S
0 -398.7 M
(       F7CA8CD9 E69D218D 98158536 F92F8A1B A7F09AB6 B6A8E122) S
0 -409.5 M
(       F242DABB 312F3F63 7A262174 D31BF6B5 85FFAE5B 7A035BF6) S
0 -420.3 M
(       F71C35FD AD44CFD2 D74F9208 BE258FF3 24943328 F6722D9E) S
0 -431.1 M
(       E1003E5C 50B1DF82 CC6D241B 0E2AE9CD 348B1FD4 7E9267AF) S
0 -441.9 M
(       C1B2AE91 EE51D6CB 0E3179AB 1042A95D CF6A9483 B84B4B36) S
0 -452.7 M
(       B3861AA7 255E4C02 78BA3604 650C10BE 19482F23 171B671D) S
0 -463.5 M
(       F1CF3B96 0C074301 CD93C1D1 7603D147 DAE2AEF8 37A62964) S
0 -474.3 M
(       EF15E5FB 4AAC0B8C 1CCAA4BE 754AB572 8AE9130C 4C7D0288) S
0 -485.1 M
(       0AB9472D 45565534 7FFFFFFF FFFFFFFF.) S
0 -509.3 M
11 0 Nf
3.01204419 0 32 0 0 (The MODP group used for the iso-kam3-dl-4096-sha512 algorithm is defined by the following ) A
0 -522.5 M
(parameters.) S
0 -546.7 M
(The prime ) S
(is:) S
0 -568.5 M
9.0 4 Nf
( q = 0xFFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1) S
0 -579.3 M
(       29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD) S
0 -590.1 M
(       EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245) S
0 -600.9 M
(       E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED) S
0 -611.7 M
(       EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D) S
0 -622.5 M
(       C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F) S
0 -633.3 M
(       83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D) S
0 -644.1 M
(       670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B) S
0 -654.9 M
(       E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9) S
0 -665.7 M
(       DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510) S
0 -665.7 M
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9.0 4 Nf
(       15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64) S
0 -21.6 M
9.0 4 Nf
(       ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7) S
0 -32.4 M
(       ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B) S
0 -43.2 M
(       F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C) S
0 -54 M
(       BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31) S
0 -64.8 M
(       43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7) S
0 -75.6 M
(       88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA) S
0 -86.4 M
(       2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6) S
0 -97.2 M
(       287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED) S
0 -108 M
(       1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9) S
0 -118.8 M
(       93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34063199) S
0 -129.6 M
(       FFFFFFFF FFFFFFFF.) S
0 -153.8 M
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11 0 Nf
(The generator ) S
(is:) S
0 -175.6 M
9.0 4 Nf
( g = 2.) S
0 -199.8 M
11 0 Nf
(The size of the subgroup generated by g ) S
(is:) S
0 -221.6 M
9.0 4 Nf
( r = \(q - 1\) / 2 =) S
0 -232.4 M
(     0x7FFFFFFF FFFFFFFF E487ED51 10B4611A 62633145 C06E0E68) S
0 -243.2 M
(       94812704 4533E63A 0105DF53 1D89CD91 28A5043C C71A026E) S
0 -254 M
(       F7CA8CD9 E69D218D 98158536 F92F8A1B A7F09AB6 B6A8E122) S
0 -264.8 M
(       F242DABB 312F3F63 7A262174 D31BF6B5 85FFAE5B 7A035BF6) S
0 -275.6 M
(       F71C35FD AD44CFD2 D74F9208 BE258FF3 24943328 F6722D9E) S
0 -286.4 M
(       E1003E5C 50B1DF82 CC6D241B 0E2AE9CD 348B1FD4 7E9267AF) S
0 -297.2 M
(       C1B2AE91 EE51D6CB 0E3179AB 1042A95D CF6A9483 B84B4B36) S
0 -308 M
(       B3861AA7 255E4C02 78BA3604 650C10BE 19482F23 171B671D) S
0 -318.8 M
(       F1CF3B96 0C074301 CD93C1D1 7603D147 DAE2AEF8 37A62964) S
0 -329.6 M
(       EF15E5FB 4AAC0B8C 1CCAA4BE 754AB572 8AE9130C 4C7D0288) S
0 -340.4 M
(       0AB9472D 45556216 D6998B86 82283D19 D42A90D5 EF8E5D32) S
0 -351.2 M
(       767DC282 2C6DF785 457538AB AE83063E D9CB87C2 D370F263) S
0 -362 M
(       D5FAD746 6D8499EB 8F464A70 2512B0CE E771E913 0D697735) S
0 -372.8 M
(       F897FD03 6CC50432 6C3B0139 9F643532 290F958C 0BBD9006) S
0 -383.6 M
(       5DF08BAB BD30AEB6 3B84C460 5D6CA371 047127D0 3A72D598) S
0 -394.4 M
(       A1EDADFE 707E8847 25C16890 54908400 8D391E09 53C3F36B) S
0 -405.2 M
(       C438CD08 5EDD2D93 4CE1938C 357A711E 0D4A341A 5B0A85ED) S
0 -416 M
(       12C1F4E5 156A2674 6DDDE16D 826F477C 97477E0A 0FDF6553) S
0 -426.8 M
(       143E2CA3 A735E02E CCD94B27 D04861D1 119DD0C3 28ADF3F6) S
0 -437.6 M
(       8FB094B8 67716BD7 DC0DEEBB 10B8240E 68034893 EAD82D54) S
0 -448.4 M
(       C9DA754C 46C7EEE0 C37FDBEE 48536047 A6FA1AE4 9A0318CC) S
0 -459.2 M
(       FFFFFFFF FFFFFFFF.) S
0 -468.2 M
[/View [/XYZ -4 288.800201 null] /Dest /33 /DEST pdfmark
0 -468.2 M
[/View [/XYZ -4 288.800201 null] /Dest /34 /DEST pdfmark
0 -489.2 M
%%IncludeResource: font Times-Bold
15 2 Nf
(Appendix) S
[/View [/XYZ -4 285.800201 null] /Dest /64 /DEST pdfmark
( B. \(Informative\) Derived Numerical ) S
(Values) S
0 -513.4 M
11 0 Nf
0.24609375 0 32 0 0 (This section provides several numerical values for implementing this protocol, derived from the above) A
0 -526.6 M
(specifications. The values shown in this section are for informative purposes only. ) S
203.1 -554.9 M
11 2 Nf
(dl-2048) S
244.1 -554.9 M
11 2 Nf
(dl-4096) S
285 -554.9 M
11 2 Nf
(ec-p256) S
327.1 -554.9 M
11 2 Nf
(ec-p521) S
51.7 -574.6 M
11 0 Nf
(Size of ) S
(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
( ) S
(etc.) S
0.0 -2.2 RM
203.1 -575.7 M
(2048) S
244.1 -575.7 M
(4096) S
285 -575.7 M
(257) S
327.1 -575.7 M
(522) S
369.3 -575.7 M
(\(bits\)) S
51.7 -596.6 M
(Size of ) S
(H\(...\)) S
203.1 -596.6 M
(256) S
244.1 -596.6 M
(512) S
285 -596.6 M
(256) S
327.1 -596.6 M
(512) S
369.3 -596.6 M
(\(bits\)) S
51.7 -616.3 M
11 0 Nf
(length of ) S
(OCTETS\(K) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
11 0 Nf
(\) ) S
(etc.) S
0.0 -2.2 RM
203.1 -617.4 M
(256) S
244.1 -617.4 M
(512) S
285 -617.4 M
(33) S
327.1 -617.4 M
(66) S
369.3 -617.4 M
(\(octets\)) S
51.7 -638.3 M
(length of kc1, ks1 param. ) S
(values.) S
203.1 -638.3 M
(344 ) S
(*) S
244.1 -638.3 M
(684 ) S
(*) S
285 -638.3 M
(66) S
327.1 -638.3 M
(132) S
369.3 -638.3 M
(\(octets\)) S
51.7 -658 M
(length of vkc, vks param. ) S
(values.) S
203.1 -658 M
(44 ) S
(*) S
244.1 -658 M
(88 ) S
(*) S
285 -658 M
(64) S
327.1 -658 M
(128) S
369.3 -658 M
(\(octets\)) S
369.3 -658 M
gsave
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219.9 -712 M
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0 setgray
738.6 -8 M
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51.7 -14 M
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11 0 Nf
(minimum allowed ) S
(S) S
1.2 0.0 RM
0.0 -2.2 RM
8.36798 0 Nf
(c1) S
0.0 2.2 RM
1.5 0.0 RM
0.0 -2.2 RM
203.1 -15.1 M
11 0 Nf
(2048) S
244.1 -15.1 M
(4096) S
285 -15.1 M
(1) S
327.1 -15.1 M
(1) S
369.3 -15.1 M
(\240) S
0 -46.2 M
11 0 Nf
(\(The numbers marked with an * do not include any enclosing quotation ) S
(marks.\)) S
0 -57.1 M
[/View [/XYZ -4 699.85 null] /Dest /35 /DEST pdfmark
0 -57.1 M
[/View [/XYZ -4 699.85 null] /Dest /36 /DEST pdfmark
0 -76.2 M
%%IncludeResource: font Times-Bold
15 2 Nf
(Appendix) S
[/View [/XYZ -4 698.85 null] /Dest /65 /DEST pdfmark
( C. \(Informative\) Draft Change ) S
(Log) S
0 -83.7 M
[/View [/XYZ -4 673.35 null] /Dest /37 /DEST pdfmark
0 -83.7 M
[/View [/XYZ -4 673.35 null] /Dest /38 /DEST pdfmark
0 -106.2 M
15 2 Nf
(C.1.) S
[/View [/XYZ -4 668.85 null] /Dest /66 /DEST pdfmark
( Changes in HTTPAUTH revision ) S
(01) S
11 -126.7 M
gsave
0 setgray
newpath
11.0 -126.72 2.75 0 360 arc
closepath
fill
grestore
22 -130.3 M
11 0 Nf
1.74939907 0 32 0 0 (Notation change: integer output of hash function will be notated as INT\(H\(*\)\), changed from ) A
22 -143.6 M
(H\(*\).) S
0 -154.6 M
[/View [/XYZ -4 602.45 null] /Dest /39 /DEST pdfmark
0 -154.6 M
[/View [/XYZ -4 602.45 null] /Dest /40 /DEST pdfmark
0 -173.6 M
15 2 Nf
(C.2.) S
[/View [/XYZ -4 601.45 null] /Dest /67 /DEST pdfmark
( Changes in revision ) S
(02) S
11 -194.1 M
gsave
0 setgray
newpath
11.0 -194.12001 2.75 0 360 arc
closepath
fill
grestore
22 -197.8 M
11 0 Nf
0.992968738 0 32 0 0 (Implementation hints in appendix changed \(number of characters for base64-fixed-number does) A
22 -211 M
(not contain ) S
(double-quotes\).) S
0 -221.9 M
[/View [/XYZ -4 535.05 null] /Dest /41 /DEST pdfmark
0 -221.9 M
[/View [/XYZ -4 535.05 null] /Dest /42 /DEST pdfmark
0 -240.9 M
15 2 Nf
(C.3.) S
[/View [/XYZ -4 534.05 null] /Dest /68 /DEST pdfmark
( Changes in revision ) S
(01) S
11 -261.5 M
gsave
0 setgray
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11.0 -261.52 2.75 0 360 arc
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22 -265.1 M
11 0 Nf
(Parameter names renamed. ) S
11 -275.7 M
gsave
0 setgray
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11.0 -275.72 2.75 0 360 arc
closepath
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22 -279.4 M
(Some expressions clarified without changing the ) S
(value.) S
0 -290.4 M
[/View [/XYZ -4 466.65 null] /Dest /43 /DEST pdfmark
0 -290.4 M
[/View [/XYZ -4 466.65 null] /Dest /44 /DEST pdfmark
0 -309.4 M
15 2 Nf
(C.4.) S
[/View [/XYZ -4 465.65 null] /Dest /69 /DEST pdfmark
( Changes in revision ) S
(00) S
0 -333.6 M
11 0 Nf
(The document is separated from the revision 08 of the core documentation. ) S
0 -344.6 M
[/View [/XYZ -4 412.449982 null] /Dest /45 /DEST pdfmark
0 -363.6 M
15 2 Nf
(Authors') S
[/View [/XYZ -4 411.449982 null] /Dest /70 /DEST pdfmark
( ) S
(Addresses) S
0 -388.9 M
11 0 Nf
(\240) S
44.6 -388.9 M
(Yutaka ) S
(Oiwa) S
0 -402.6 M
(\240) S
44.6 -402.6 M
(National Institute of Advanced Industrial Science and ) S
(Technology) S
0 -416.4 M
(\240) S
44.6 -416.4 M
(Research Institute for Secure ) S
(Systems) S
0 -430.1 M
(\240) S
44.6 -430.1 M
(Tsukuba Central ) S
(2) S
0 -443.9 M
(\240) S
44.6 -443.9 M
(1-1-1 ) S
(Umezono) S
0 -457.6 M
(\240) S
44.6 -457.6 M
(Tsukuba-shi, ) S
(Ibaraki) S
0 -471.4 M
(\240) S
44.6 -471.4 M
(JP) S
12.6 -485.1 M
(Email:\240) S
44.6 -485.1 M
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44.6 -486.2 M
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0 -498.9 M
(\240) S
44.6 -498.9 M
(\240) S
0 -512.6 M
(\240) S
44.6 -512.6 M
(Hajime ) S
(Watanabe) S
0 -526.4 M
(\240) S
44.6 -526.4 M
(National Institute of Advanced Industrial Science and ) S
(Technology) S
0 -540.1 M
(\240) S
44.6 -540.1 M
(Research Institute for Secure ) S
(Systems) S
0 -553.9 M
(\240) S
44.6 -553.9 M
(Tsukuba Central ) S
(2) S
0 -567.6 M
(\240) S
44.6 -567.6 M
(1-1-1 ) S
(Umezono) S
0 -581.4 M
(\240) S
44.6 -581.4 M
(Tsukuba-shi, ) S
(Ibaraki) S
0 -595.1 M
(\240) S
44.6 -595.1 M
(JP) S
0 -608.9 M
(\240) S
44.6 -608.9 M
(\240) S
0 -622.6 M
(\240) S
44.6 -622.6 M
(Hiromitsu ) S
(Takagi) S
0 -636.4 M
(\240) S
44.6 -636.4 M
(National Institute of Advanced Industrial Science and ) S
(Technology) S
0 -650.1 M
(\240) S
44.6 -650.1 M
(Research Institute for Secure ) S
(Systems) S
0 -663.9 M
(\240) S
44.6 -663.9 M
(Tsukuba Central ) S
(2) S
44.6 -663.9 M
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(\240) S
44.6 -11 M
(1-1-1 ) S
(Umezono) S
0 -24.8 M
(\240) S
44.6 -24.8 M
(Tsukuba-shi, ) S
(Ibaraki) S
0 -38.5 M
(\240) S
44.6 -38.5 M
(JP) S
0 -52.2 M
(\240) S
44.6 -52.2 M
(\240) S
0 -66 M
(\240) S
44.6 -66 M
(Tatsuya ) S
(Hayashi) S
0 -79.8 M
(\240) S
44.6 -79.8 M
(Lepidum Co. ) S
(Ltd.) S
0 -93.5 M
(\240) S
44.6 -93.5 M
(#602, Village Sasazuka ) S
(3) S
0 -107.2 M
(\240) S
44.6 -107.2 M
(1-30-3 ) S
(Sasazuka) S
0 -121 M
(\240) S
44.6 -121 M
(Shibuya-ku, ) S
(Tokyo) S
0 -134.8 M
(\240) S
44.6 -134.8 M
(JP) S
0 -148.5 M
(\240) S
44.6 -148.5 M
(\240) S
0 -162.2 M
(\240) S
44.6 -162.2 M
(Yuichi ) S
(Ioku) S
0 -176 M
(\240) S
44.6 -176 M
(Individual) S
0 -189.8 M
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PAFTECH AB 2003-2026
2026-04-24 13:02:13