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107 lines
3.3 KiB
Text
107 lines
3.3 KiB
Text
/* Copyright 2016-2017 INRIA and Microsoft Corporation
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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module Spec.Poly1305
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module ST = FStar.HyperStack.ST
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open FStar.Math.Lib
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open FStar.Mul
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open FStar.Seq
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open FStar.UInt8
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open FStar.Endianness
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open Spec.Poly1305.Lemmas
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#set-options "--initial_fuel 0 --max_fuel 0 --initial_ifuel 0 --max_ifuel 0"
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(* Field types and parameters *)
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let prime = pow2 130 - 5
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type elem = e:int{e >= 0 /\ e < prime}
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let fadd (e1:elem) (e2:elem) = (e1 + e2) % prime
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let fmul (e1:elem) (e2:elem) = (e1 * e2) % prime
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let zero : elem = 0
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let one : elem = 1
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let op_Plus_At = fadd
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let op_Star_At = fmul
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(* Type aliases *)
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let op_Amp_Bar = UInt.logand #128
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type word = w:bytes{length w <= 16}
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type word_16 = w:bytes{length w = 16}
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type tag = word_16
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type key = lbytes 32
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type text = seq word
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(* Specification code *)
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let encode (w:word) =
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(pow2 (8 * length w)) `fadd` (little_endian w)
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let rec poly (txt:text) (r:e:elem) : Tot elem (decreases (length txt)) =
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if length txt = 0 then zero
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else
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let a = poly (Seq.tail txt) r in
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let n = encode (Seq.head txt) in
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(n `fadd` a) `fmul` r
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let encode_r (rb:word_16) =
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(little_endian rb) &| 0x0ffffffc0ffffffc0ffffffc0fffffff
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let finish (a:elem) (s:word_16) : Tot tag =
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let n = (a + little_endian s) % pow2 128 in
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little_bytes 16ul n
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let rec encode_bytes (txt:bytes) : Tot text (decreases (length txt)) =
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if length txt = 0 then createEmpty
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else
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let w, txt = split txt (min (length txt) 16) in
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append_last (encode_bytes txt) w
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let poly1305 (msg:bytes) (k:key) : Tot tag =
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let text = encode_bytes msg in
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let r = encode_r (slice k 0 16) in
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let s = slice k 16 32 in
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finish (poly text r) s
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(* ********************* *)
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(* RFC 7539 Test Vectors *)
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(* ********************* *)
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#reset-options "--initial_fuel 0 --max_fuel 0 --z3rlimit 20"
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unfold let msg = [
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0x43uy; 0x72uy; 0x79uy; 0x70uy; 0x74uy; 0x6fuy; 0x67uy; 0x72uy;
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0x61uy; 0x70uy; 0x68uy; 0x69uy; 0x63uy; 0x20uy; 0x46uy; 0x6fuy;
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0x72uy; 0x75uy; 0x6duy; 0x20uy; 0x52uy; 0x65uy; 0x73uy; 0x65uy;
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0x61uy; 0x72uy; 0x63uy; 0x68uy; 0x20uy; 0x47uy; 0x72uy; 0x6fuy;
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0x75uy; 0x70uy ]
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unfold let k = [
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0x85uy; 0xd6uy; 0xbeuy; 0x78uy; 0x57uy; 0x55uy; 0x6duy; 0x33uy;
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0x7fuy; 0x44uy; 0x52uy; 0xfeuy; 0x42uy; 0xd5uy; 0x06uy; 0xa8uy;
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0x01uy; 0x03uy; 0x80uy; 0x8auy; 0xfbuy; 0x0duy; 0xb2uy; 0xfduy;
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0x4auy; 0xbfuy; 0xf6uy; 0xafuy; 0x41uy; 0x49uy; 0xf5uy; 0x1buy ]
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unfold let expected = [
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0xa8uy; 0x06uy; 0x1duy; 0xc1uy; 0x30uy; 0x51uy; 0x36uy; 0xc6uy;
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0xc2uy; 0x2buy; 0x8buy; 0xafuy; 0x0cuy; 0x01uy; 0x27uy; 0xa9uy ]
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let test () : Tot bool =
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assert_norm(List.Tot.length msg = 34);
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assert_norm(List.Tot.length k = 32);
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assert_norm(List.Tot.length expected = 16);
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let msg = createL msg in
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let k = createL k in
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let expected = createL expected in
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poly1305 msg k = expected
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