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authorwolfbeast <mcwerewolf@gmail.com>2018-02-23 11:04:39 +0100
committerwolfbeast <mcwerewolf@gmail.com>2018-02-23 11:04:39 +0100
commitf1a0f0a56fdd0fc39f255174ce08c06b91c66c94 (patch)
tree99ccc8e212257e1da1902036ae261e8e55d55c1c /security/nss/lib/freebl/verified/specs/Spec.CTR.fst
parent8781f745556be5d7402d0f3adc67ecfe32fe04a0 (diff)
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Update NSS to 3.35-RTM
Diffstat (limited to 'security/nss/lib/freebl/verified/specs/Spec.CTR.fst')
-rw-r--r--security/nss/lib/freebl/verified/specs/Spec.CTR.fst98
1 files changed, 98 insertions, 0 deletions
diff --git a/security/nss/lib/freebl/verified/specs/Spec.CTR.fst b/security/nss/lib/freebl/verified/specs/Spec.CTR.fst
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+++ b/security/nss/lib/freebl/verified/specs/Spec.CTR.fst
@@ -0,0 +1,98 @@
+/* Copyright 2016-2017 INRIA and Microsoft Corporation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+module Spec.CTR
+
+module ST = FStar.HyperStack.ST
+
+open FStar.Mul
+open FStar.Seq
+open Spec.Lib
+
+#reset-options "--initial_fuel 0 --max_fuel 0 --initial_ifuel 0 --max_ifuel 0"
+
+type block_cipher_ctx = {
+ keylen: nat ;
+ blocklen: (x:nat{x>0});
+ noncelen: nat;
+ counterbits: nat;
+ incr: pos}
+
+type key (c:block_cipher_ctx) = lbytes c.keylen
+type nonce (c:block_cipher_ctx) = lbytes c.noncelen
+type block (c:block_cipher_ctx) = lbytes (c.blocklen*c.incr)
+type counter (c:block_cipher_ctx) = UInt.uint_t c.counterbits
+type block_cipher (c:block_cipher_ctx) = key c -> nonce c -> counter c -> block c
+
+val xor: #len:nat -> x:lbytes len -> y:lbytes len -> Tot (lbytes len)
+let xor #len x y = map2 FStar.UInt8.(fun x y -> x ^^ y) x y
+
+
+val counter_mode_blocks:
+ ctx: block_cipher_ctx ->
+ bc: block_cipher ctx ->
+ k:key ctx -> n:nonce ctx -> c:counter ctx ->
+ plain:seq UInt8.t{c + ctx.incr * (length plain / ctx.blocklen) < pow2 ctx.counterbits /\
+ length plain % (ctx.blocklen * ctx.incr) = 0} ->
+ Tot (lbytes (length plain))
+ (decreases (length plain))
+#reset-options "--z3rlimit 200 --max_fuel 0"
+let rec counter_mode_blocks ctx block_enc key nonce counter plain =
+ let len = length plain in
+ let len' = len / (ctx.blocklen * ctx.incr) in
+ Math.Lemmas.lemma_div_mod len (ctx.blocklen * ctx.incr) ;
+ if len = 0 then Seq.createEmpty #UInt8.t
+ else (
+ let prefix, block = split plain (len - ctx.blocklen * ctx.incr) in
+ (* TODO: move to a single lemma for clarify *)
+ Math.Lemmas.lemma_mod_plus (length prefix) 1 (ctx.blocklen * ctx.incr);
+ Math.Lemmas.lemma_div_le (length prefix) len ctx.blocklen;
+ Spec.CTR.Lemmas.lemma_div len (ctx.blocklen * ctx.incr);
+ (* End TODO *)
+ let cipher = counter_mode_blocks ctx block_enc key nonce counter prefix in
+ let mask = block_enc key nonce (counter + (len / ctx.blocklen - 1) * ctx.incr) in
+ let eb = xor block mask in
+ cipher @| eb
+ )
+
+
+val counter_mode:
+ ctx: block_cipher_ctx ->
+ bc: block_cipher ctx ->
+ k:key ctx -> n:nonce ctx -> c:counter ctx ->
+ plain:seq UInt8.t{c + ctx.incr * (length plain / ctx.blocklen) < pow2 ctx.counterbits} ->
+ Tot (lbytes (length plain))
+ (decreases (length plain))
+#reset-options "--z3rlimit 200 --max_fuel 0"
+let counter_mode ctx block_enc key nonce counter plain =
+ let len = length plain in
+ let blocks_len = (ctx.incr * ctx.blocklen) * (len / (ctx.blocklen * ctx.incr)) in
+ let part_len = len % (ctx.blocklen * ctx.incr) in
+ (* TODO: move to a single lemma for clarify *)
+ Math.Lemmas.lemma_div_mod len (ctx.blocklen * ctx.incr);
+ Math.Lemmas.multiple_modulo_lemma (len / (ctx.blocklen * ctx.incr)) (ctx.blocklen * ctx.incr);
+ Math.Lemmas.lemma_div_le (blocks_len) len ctx.blocklen;
+ (* End TODO *)
+ let blocks, last_block = split plain blocks_len in
+ let cipher_blocks = counter_mode_blocks ctx block_enc key nonce counter blocks in
+ let cipher_last_block =
+ if part_len > 0
+ then (* encrypt final partial block(s) *)
+ let mask = block_enc key nonce (counter+ctx.incr*(length plain / ctx.blocklen)) in
+ let mask = slice mask 0 part_len in
+ assert(length last_block = part_len);
+ xor #part_len last_block mask
+ else createEmpty in
+ cipher_blocks @| cipher_last_block