/* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
/* This file provides a spec of the Poly1305 one-time authenticator.
* See <https://tools.ietf.org/html/rfc7539> for details. */
module poly1305 where
P : [136]
P = 2^^130 - 5
Poly1305 : {n} (fin n) => [n][8] -> [16][8] -> [16][8] -> [16][8]
Poly1305 msg r s = reverse (groupBy (drop ((rounds ! 0) + s')))
where
rounds = [zero] # [ Poly1305_block acc r' b | b <- blocks | acc <- rounds ]
r' = zero # (Poly1305_clamp (join (reverse r)))
s' = zero # (join (reverse s))
blocks = Poly1305_split msg
private
// 0x0f - for r[3], r[7], r[11], r[15]
// 0xfc - for r[4], r[8], r[12]
Poly1305_clamp r = r && 0x0ffffffc0ffffffc0ffffffc0fffffff
// Poly1305_block : ((acc + msg) * r) % P
Poly1305_block : [136] -> [136] -> [136] -> [136]
Poly1305_block acc r msg = drop (prod % (zero # P))
where
acc' : [137]
// Add the current block to the accumulator.
acc' = (zero # acc) + (zero # msg)
prod : [273]
// Multiply the new accumulator value by r.
prod = ((zero : [137]) # r) * ((zero : [136]) # acc')
Poly1305_split : {n, nb, nf} (fin n, nf == n / 16, nb == (n + 15) / 16) => [n][8] -> [nb][136]
Poly1305_split msg = take ((h1 : [nf][136]) # h2)
where
// Split all full 16-byte blocks and append 0x01, then convert to LE.
h1 = [ join (reverse (b # [0x01])) | b <- groupBy`{16} (take msg)]
// Pad the remaining bytes (if any) and convert to LE.
h2 = [join (reverse ((drop`{nf * 16} msg) # [0x01] # zero))]
/* -------------------------------------------------------------------------- */
/* -- Tests ----------------------------------------------------------------- */
private
// https://tools.ietf.org/html/rfc7539#section-2.5.2
rval1 = [0x85, 0xd6, 0xbe, 0x78, 0x57, 0x55, 0x6d, 0x33,
0x7f, 0x44, 0x52, 0xfe, 0x42, 0xd5, 0x06, 0xa8]
sval1 = [0x01, 0x03, 0x80, 0x8a, 0xfb, 0x0d, 0xb2, 0xfd,
0x4a, 0xbf, 0xf6, 0xaf, 0x41, 0x49, 0xf5, 0x1b]
text1 = [0x43, 0x72, 0x79, 0x70, 0x74, 0x6f, 0x67, 0x72,
0x61, 0x70, 0x68, 0x69, 0x63, 0x20, 0x46, 0x6f,
0x72, 0x75, 0x6d, 0x20, 0x52, 0x65, 0x73, 0x65,
0x61, 0x72, 0x63, 0x68, 0x20, 0x47, 0x72, 0x6f,
0x75, 0x70]
rfctest01 = Poly1305 text1 rval1 sval1
== [0xa8, 0x06, 0x1d, 0xc1, 0x30, 0x51, 0x36, 0xc6,
0xc2, 0x2b, 0x8b, 0xaf, 0x0c, 0x01, 0x27, 0xa9]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #1
rval2 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval2 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text2 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
rfctest02 = Poly1305 text2 rval2 sval2
== [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #2
rval3 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval3 = [0x36, 0xe5, 0xf6, 0xb5, 0xc5, 0xe0, 0x60, 0x70,
0xf0, 0xef, 0xca, 0x96, 0x22, 0x7a, 0x86, 0x3e]
text3 = [0x41, 0x6e, 0x79, 0x20, 0x73, 0x75, 0x62, 0x6d,
0x69, 0x73, 0x73, 0x69, 0x6f, 0x6e, 0x20, 0x74,
0x6f, 0x20, 0x74, 0x68, 0x65, 0x20, 0x49, 0x45,
0x54, 0x46, 0x20, 0x69, 0x6e, 0x74, 0x65, 0x6e,
0x64, 0x65, 0x64, 0x20, 0x62, 0x79, 0x20, 0x74,
0x68, 0x65, 0x20, 0x43, 0x6f, 0x6e, 0x74, 0x72,
0x69, 0x62, 0x75, 0x74, 0x6f, 0x72, 0x20, 0x66,
0x6f, 0x72, 0x20, 0x70, 0x75, 0x62, 0x6c, 0x69,
0x63, 0x61, 0x74, 0x69, 0x6f, 0x6e, 0x20, 0x61,
0x73, 0x20, 0x61, 0x6c, 0x6c, 0x20, 0x6f, 0x72,
0x20, 0x70, 0x61, 0x72, 0x74, 0x20, 0x6f, 0x66,
0x20, 0x61, 0x6e, 0x20, 0x49, 0x45, 0x54, 0x46,
0x20, 0x49, 0x6e, 0x74, 0x65, 0x72, 0x6e, 0x65,
0x74, 0x2d, 0x44, 0x72, 0x61, 0x66, 0x74, 0x20,
0x6f, 0x72, 0x20, 0x52, 0x46, 0x43, 0x20, 0x61,
0x6e, 0x64, 0x20, 0x61, 0x6e, 0x79, 0x20, 0x73,
0x74, 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e, 0x74,
0x20, 0x6d, 0x61, 0x64, 0x65, 0x20, 0x77, 0x69,
0x74, 0x68, 0x69, 0x6e, 0x20, 0x74, 0x68, 0x65,
0x20, 0x63, 0x6f, 0x6e, 0x74, 0x65, 0x78, 0x74,
0x20, 0x6f, 0x66, 0x20, 0x61, 0x6e, 0x20, 0x49,
0x45, 0x54, 0x46, 0x20, 0x61, 0x63, 0x74, 0x69,
0x76, 0x69, 0x74, 0x79, 0x20, 0x69, 0x73, 0x20,
0x63, 0x6f, 0x6e, 0x73, 0x69, 0x64, 0x65, 0x72,
0x65, 0x64, 0x20, 0x61, 0x6e, 0x20, 0x22, 0x49,
0x45, 0x54, 0x46, 0x20, 0x43, 0x6f, 0x6e, 0x74,
0x72, 0x69, 0x62, 0x75, 0x74, 0x69, 0x6f, 0x6e,
0x22, 0x2e, 0x20, 0x53, 0x75, 0x63, 0x68, 0x20,
0x73, 0x74, 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e,
0x74, 0x73, 0x20, 0x69, 0x6e, 0x63, 0x6c, 0x75,
0x64, 0x65, 0x20, 0x6f, 0x72, 0x61, 0x6c, 0x20,
0x73, 0x74, 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e,
0x74, 0x73, 0x20, 0x69, 0x6e, 0x20, 0x49, 0x45,
0x54, 0x46, 0x20, 0x73, 0x65, 0x73, 0x73, 0x69,
0x6f, 0x6e, 0x73, 0x2c, 0x20, 0x61, 0x73, 0x20,
0x77, 0x65, 0x6c, 0x6c, 0x20, 0x61, 0x73, 0x20,
0x77, 0x72, 0x69, 0x74, 0x74, 0x65, 0x6e, 0x20,
0x61, 0x6e, 0x64, 0x20, 0x65, 0x6c, 0x65, 0x63,
0x74, 0x72, 0x6f, 0x6e, 0x69, 0x63, 0x20, 0x63,
0x6f, 0x6d, 0x6d, 0x75, 0x6e, 0x69, 0x63, 0x61,
0x74, 0x69, 0x6f, 0x6e, 0x73, 0x20, 0x6d, 0x61,
0x64, 0x65, 0x20, 0x61, 0x74, 0x20, 0x61, 0x6e,
0x79, 0x20, 0x74, 0x69, 0x6d, 0x65, 0x20, 0x6f,
0x72, 0x20, 0x70, 0x6c, 0x61, 0x63, 0x65, 0x2c,
0x20, 0x77, 0x68, 0x69, 0x63, 0x68, 0x20, 0x61,
0x72, 0x65, 0x20, 0x61, 0x64, 0x64, 0x72, 0x65,
0x73, 0x73, 0x65, 0x64, 0x20, 0x74, 0x6f]
rfctest03 = Poly1305 text3 rval3 sval3
== [0x36, 0xe5, 0xf6, 0xb5, 0xc5, 0xe0, 0x60, 0x70,
0xf0, 0xef, 0xca, 0x96, 0x22, 0x7a, 0x86, 0x3e]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #3
rval4 = [0x36, 0xe5, 0xf6, 0xb5, 0xc5, 0xe0, 0x60, 0x70,
0xf0, 0xef, 0xca, 0x96, 0x22, 0x7a, 0x86, 0x3e]
sval4 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text4 = [0x41, 0x6e, 0x79, 0x20, 0x73, 0x75, 0x62, 0x6d,
0x69, 0x73, 0x73, 0x69, 0x6f, 0x6e, 0x20, 0x74,
0x6f, 0x20, 0x74, 0x68, 0x65, 0x20, 0x49, 0x45,
0x54, 0x46, 0x20, 0x69, 0x6e, 0x74, 0x65, 0x6e,
0x64, 0x65, 0x64, 0x20, 0x62, 0x79, 0x20, 0x74,
0x68, 0x65, 0x20, 0x43, 0x6f, 0x6e, 0x74, 0x72,
0x69, 0x62, 0x75, 0x74, 0x6f, 0x72, 0x20, 0x66,
0x6f, 0x72, 0x20, 0x70, 0x75, 0x62, 0x6c, 0x69,
0x63, 0x61, 0x74, 0x69, 0x6f, 0x6e, 0x20, 0x61,
0x73, 0x20, 0x61, 0x6c, 0x6c, 0x20, 0x6f, 0x72,
0x20, 0x70, 0x61, 0x72, 0x74, 0x20, 0x6f, 0x66,
0x20, 0x61, 0x6e, 0x20, 0x49, 0x45, 0x54, 0x46,
0x20, 0x49, 0x6e, 0x74, 0x65, 0x72, 0x6e, 0x65,
0x74, 0x2d, 0x44, 0x72, 0x61, 0x66, 0x74, 0x20,
0x6f, 0x72, 0x20, 0x52, 0x46, 0x43, 0x20, 0x61,
0x6e, 0x64, 0x20, 0x61, 0x6e, 0x79, 0x20, 0x73,
0x74, 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e, 0x74,
0x20, 0x6d, 0x61, 0x64, 0x65, 0x20, 0x77, 0x69,
0x74, 0x68, 0x69, 0x6e, 0x20, 0x74, 0x68, 0x65,
0x20, 0x63, 0x6f, 0x6e, 0x74, 0x65, 0x78, 0x74,
0x20, 0x6f, 0x66, 0x20, 0x61, 0x6e, 0x20, 0x49,
0x45, 0x54, 0x46, 0x20, 0x61, 0x63, 0x74, 0x69,
0x76, 0x69, 0x74, 0x79, 0x20, 0x69, 0x73, 0x20,
0x63, 0x6f, 0x6e, 0x73, 0x69, 0x64, 0x65, 0x72,
0x65, 0x64, 0x20, 0x61, 0x6e, 0x20, 0x22, 0x49,
0x45, 0x54, 0x46, 0x20, 0x43, 0x6f, 0x6e, 0x74,
0x72, 0x69, 0x62, 0x75, 0x74, 0x69, 0x6f, 0x6e,
0x22, 0x2e, 0x20, 0x53, 0x75, 0x63, 0x68, 0x20,
0x73, 0x74, 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e,
0x74, 0x73, 0x20, 0x69, 0x6e, 0x63, 0x6c, 0x75,
0x64, 0x65, 0x20, 0x6f, 0x72, 0x61, 0x6c, 0x20,
0x73, 0x74, 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e,
0x74, 0x73, 0x20, 0x69, 0x6e, 0x20, 0x49, 0x45,
0x54, 0x46, 0x20, 0x73, 0x65, 0x73, 0x73, 0x69,
0x6f, 0x6e, 0x73, 0x2c, 0x20, 0x61, 0x73, 0x20,
0x77, 0x65, 0x6c, 0x6c, 0x20, 0x61, 0x73, 0x20,
0x77, 0x72, 0x69, 0x74, 0x74, 0x65, 0x6e, 0x20,
0x61, 0x6e, 0x64, 0x20, 0x65, 0x6c, 0x65, 0x63,
0x74, 0x72, 0x6f, 0x6e, 0x69, 0x63, 0x20, 0x63,
0x6f, 0x6d, 0x6d, 0x75, 0x6e, 0x69, 0x63, 0x61,
0x74, 0x69, 0x6f, 0x6e, 0x73, 0x20, 0x6d, 0x61,
0x64, 0x65, 0x20, 0x61, 0x74, 0x20, 0x61, 0x6e,
0x79, 0x20, 0x74, 0x69, 0x6d, 0x65, 0x20, 0x6f,
0x72, 0x20, 0x70, 0x6c, 0x61, 0x63, 0x65, 0x2c,
0x20, 0x77, 0x68, 0x69, 0x63, 0x68, 0x20, 0x61,
0x72, 0x65, 0x20, 0x61, 0x64, 0x64, 0x72, 0x65,
0x73, 0x73, 0x65, 0x64, 0x20, 0x74, 0x6f]
rfctest04 = Poly1305 text4 rval4 sval4
== [0xf3, 0x47, 0x7e, 0x7c, 0xd9, 0x54, 0x17, 0xaf,
0x89, 0xa6, 0xb8, 0x79, 0x4c, 0x31, 0x0c, 0xf0]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #4
rval5 = [0x1c, 0x92, 0x40, 0xa5, 0xeb, 0x55, 0xd3, 0x8a,
0xf3, 0x33, 0x88, 0x86, 0x04, 0xf6, 0xb5, 0xf0]
sval5 = [0x47, 0x39, 0x17, 0xc1, 0x40, 0x2b, 0x80, 0x09,
0x9d, 0xca, 0x5c, 0xbc, 0x20, 0x70, 0x75, 0xc0]
text5 = [0x27, 0x54, 0x77, 0x61, 0x73, 0x20, 0x62, 0x72,
0x69, 0x6c, 0x6c, 0x69, 0x67, 0x2c, 0x20, 0x61,
0x6e, 0x64, 0x20, 0x74, 0x68, 0x65, 0x20, 0x73,
0x6c, 0x69, 0x74, 0x68, 0x79, 0x20, 0x74, 0x6f,
0x76, 0x65, 0x73, 0x0a, 0x44, 0x69, 0x64, 0x20,
0x67, 0x79, 0x72, 0x65, 0x20, 0x61, 0x6e, 0x64,
0x20, 0x67, 0x69, 0x6d, 0x62, 0x6c, 0x65, 0x20,
0x69, 0x6e, 0x20, 0x74, 0x68, 0x65, 0x20, 0x77,
0x61, 0x62, 0x65, 0x3a, 0x0a, 0x41, 0x6c, 0x6c,
0x20, 0x6d, 0x69, 0x6d, 0x73, 0x79, 0x20, 0x77,
0x65, 0x72, 0x65, 0x20, 0x74, 0x68, 0x65, 0x20,
0x62, 0x6f, 0x72, 0x6f, 0x67, 0x6f, 0x76, 0x65,
0x73, 0x2c, 0x0a, 0x41, 0x6e, 0x64, 0x20, 0x74,
0x68, 0x65, 0x20, 0x6d, 0x6f, 0x6d, 0x65, 0x20,
0x72, 0x61, 0x74, 0x68, 0x73, 0x20, 0x6f, 0x75,
0x74, 0x67, 0x72, 0x61, 0x62, 0x65, 0x2e]
rfctest05 = Poly1305 text5 rval5 sval5
== [0x45, 0x41, 0x66, 0x9a, 0x7e, 0xaa, 0xee, 0x61,
0xe7, 0x08, 0xdc, 0x7c, 0xbc, 0xc5, 0xeb, 0x62]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #5
rval6 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval6 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text6 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
rfctest06 = Poly1305 text6 rval6 sval6
== [0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #6
rval7 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval7 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
text7 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
rfctest07 = Poly1305 text7 rval7 sval7
== [0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #7
rval8 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval8 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text8 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0x11, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
rfctest08 = Poly1305 text8 rval8 sval8
== [0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #8
rval9 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval9 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text9 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xfb, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe,
0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe,
0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01,
0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01]
rfctest09 = Poly1305 text9 rval9 sval9
== [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #9
rval10 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval10 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text10 = [0xfd, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
rfctest10 = Poly1305 text10 rval10 sval10
== [0xfa, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #10
rval11 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval11 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text11 = [0xe3, 0x35, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0xb9,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x33, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0x79, 0xcd,
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
rfctest11 = Poly1305 text11 rval11 sval11
== [0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x55, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
// https://tools.ietf.org/html/rfc7539#appendix-A.3
// Test Vector #11
rval12 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
sval12 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
text12 = [0xe3, 0x35, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0xb9,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x33, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0x79, 0xcd,
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
rfctest12 = Poly1305 text12 rval12 sval12
== [0x13, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
property allTestsPass =
([ // Full RFC test vectors
rfctest01, rfctest02, rfctest03, rfctest04,
rfctest05, rfctest06, rfctest07, rfctest08,
rfctest09, rfctest10, rfctest11, rfctest12
] : [_]Bit) == ~zero // All test bits should equal one