poly_hash is part of the HEH (Hash-Encrypt-Hash) encryption mode,
proposed in Internet Draft
https://tools.ietf.org/html/draft-cope-heh-01. poly_hash is very
similar to GHASH; besides the swapping of the last two coefficients
which we opted to handle in the HEH template, poly_hash just uses a
different finite field representation. As with GHASH, poly_hash becomes
much faster and more secure against timing attacks when implemented
using carryless multiplication instructions instead of tables. This
patch adds an ARMv8-CE optimized version of poly_hash, based roughly on
the existing ARMv8-CE optimized version of GHASH.
Benchmark results are shown below, but note that the resistance to
timing attacks may be even more important than the performance gain.
poly_hash only:
poly_hash-generic:
1,000,000 setkey() takes 1185 ms
hashing is 328 MB/s
poly_hash-ce:
1,000,000 setkey() takes 8 ms
hashing is 1756 MB/s
heh(aes) with 4096-byte inputs (this is the ideal case, as the
improvement is less significant with smaller inputs):
encryption with "heh_base(cmac(aes-ce),poly_hash-generic,ecb-aes-ce)": 118 MB/s
decryption with "heh_base(cmac(aes-ce),poly_hash-generic,ecb-aes-ce)": 120 MB/s
encryption with "heh_base(cmac(aes-ce),poly_hash-ce,ecb-aes-ce)": 291 MB/s
decryption with "heh_base(cmac(aes-ce),poly_hash-ce,ecb-aes-ce)": 293 MB/s
Bug:
32508661
Signed-off-by: Eric Biggers <ebiggers@google.com>
Change-Id: I621ec0e1115df7e6f5cbd7e864a4a9d8d2e94cf2
depends on ARM64 && KERNEL_MODE_NEON
select CRYPTO_HASH
+config CRYPTO_POLY_HASH_ARM64_CE
+ tristate "poly_hash (for HEH encryption mode) using ARMv8 Crypto Extensions"
+ depends on ARM64 && KERNEL_MODE_NEON
+ select CRYPTO_HASH
+
config CRYPTO_AES_ARM64_CE
tristate "AES core cipher using ARMv8 Crypto Extensions"
depends on ARM64 && KERNEL_MODE_NEON
obj-$(CONFIG_CRYPTO_GHASH_ARM64_CE) += ghash-ce.o
ghash-ce-y := ghash-ce-glue.o ghash-ce-core.o
+obj-$(CONFIG_CRYPTO_POLY_HASH_ARM64_CE) += poly-hash-ce.o
+poly-hash-ce-y := poly-hash-ce-glue.o poly-hash-ce-core.o
+
obj-$(CONFIG_CRYPTO_AES_ARM64_CE) += aes-ce-cipher.o
CFLAGS_aes-ce-cipher.o += -march=armv8-a+crypto
--- /dev/null
+/*
+ * Accelerated poly_hash implementation with ARMv8 PMULL instructions.
+ *
+ * Based on ghash-ce-core.S.
+ *
+ * Copyright (C) 2014 Linaro Ltd. <ard.biesheuvel@linaro.org>
+ * Copyright (C) 2017 Google, Inc. <ebiggers@google.com>
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License version 2 as published
+ * by the Free Software Foundation.
+ */
+
+#include <linux/linkage.h>
+#include <asm/assembler.h>
+
+ KEY .req v0
+ KEY2 .req v1
+ T1 .req v2
+ T2 .req v3
+ GSTAR .req v4
+ XL .req v5
+ XM .req v6
+ XH .req v7
+
+ .text
+ .arch armv8-a+crypto
+
+ /* 16-byte aligned (2**4 = 16); not required, but might as well */
+ .align 4
+.Lgstar:
+ .quad 0x87, 0x87
+
+/*
+ * void pmull_poly_hash_update(le128 *digest, const le128 *key,
+ * const u8 *src, unsigned int blocks,
+ * unsigned int partial);
+ */
+ENTRY(pmull_poly_hash_update)
+
+ /* Load digest into XL */
+ ld1 {XL.16b}, [x0]
+
+ /* Load key into KEY */
+ ld1 {KEY.16b}, [x1]
+
+ /* Load g*(x) = g(x) + x^128 = x^7 + x^2 + x + 1 into both halves of
+ * GSTAR */
+ adr x1, .Lgstar
+ ld1 {GSTAR.2d}, [x1]
+
+ /* Set KEY2 to (KEY[1]+KEY[0]):(KEY[1]+KEY[0]). This is needed for
+ * Karatsuba multiplication. */
+ ext KEY2.16b, KEY.16b, KEY.16b, #8
+ eor KEY2.16b, KEY2.16b, KEY.16b
+
+ /* If 'partial' is nonzero, then we're finishing a pending block and
+ * should go right to the multiplication. */
+ cbnz w4, 1f
+
+0:
+ /* Add the next block from 'src' to the digest */
+ ld1 {T1.16b}, [x2], #16
+ eor XL.16b, XL.16b, T1.16b
+ sub w3, w3, #1
+
+1:
+ /*
+ * Multiply the current 128-bit digest (a1:a0, in XL) by the 128-bit key
+ * (b1:b0, in KEY) using Karatsuba multiplication.
+ */
+
+ /* T1 = (a1+a0):(a1+a0) */
+ ext T1.16b, XL.16b, XL.16b, #8
+ eor T1.16b, T1.16b, XL.16b
+
+ /* XH = a1 * b1 */
+ pmull2 XH.1q, XL.2d, KEY.2d
+
+ /* XL = a0 * b0 */
+ pmull XL.1q, XL.1d, KEY.1d
+
+ /* XM = (a1+a0) * (b1+b0) */
+ pmull XM.1q, T1.1d, KEY2.1d
+
+ /* XM += (XH[0]:XL[1]) + XL + XH */
+ ext T1.16b, XL.16b, XH.16b, #8
+ eor T2.16b, XL.16b, XH.16b
+ eor XM.16b, XM.16b, T1.16b
+ eor XM.16b, XM.16b, T2.16b
+
+ /*
+ * Now the 256-bit product is in XH[1]:XM:XL[0]. It represents a
+ * polynomial over GF(2) with degree as large as 255. We need to
+ * compute its remainder modulo g(x) = x^128+x^7+x^2+x+1. For this it
+ * is sufficient to compute the remainder of the high half 'c(x)x^128'
+ * add it to the low half. To reduce the high half we use the Barrett
+ * reduction method. The basic idea is that we can express the
+ * remainder p(x) as g(x)q(x) mod x^128, where q(x) = (c(x)x^128)/g(x).
+ * As detailed in [1], to avoid having to divide by g(x) at runtime the
+ * following equivalent expression can be derived:
+ *
+ * p(x) = [ g*(x)((c(x)q+(x))/x^128) ] mod x^128
+ *
+ * where g*(x) = x^128+g(x) = x^7+x^2+x+1, and q+(x) = x^256/g(x) = g(x)
+ * in this case. This is also equivalent to:
+ *
+ * p(x) = [ g*(x)((c(x)(x^128 + g*(x)))/x^128) ] mod x^128
+ * = [ g*(x)(c(x) + (c(x)g*(x))/x^128) ] mod x^128
+ *
+ * Since deg g*(x) < 64:
+ *
+ * p(x) = [ g*(x)(c(x) + ((c(x)/x^64)g*(x))/x^64) ] mod x^128
+ * = [ g*(x)((c(x)/x^64)x^64 + (c(x) mod x^64) +
+ * ((c(x)/x^64)g*(x))/x^64) ] mod x^128
+ *
+ * Letting t(x) = g*(x)(c(x)/x^64):
+ *
+ * p(x) = [ t(x)x^64 + g*(x)((c(x) mod x^64) + t(x)/x^64) ] mod x^128
+ *
+ * Therefore, to do the reduction we only need to issue two 64-bit =>
+ * 128-bit carryless multiplications: g*(x) times c(x)/x^64, and g*(x)
+ * times ((c(x) mod x^64) + t(x)/x^64). (Multiplication by x^64 doesn't
+ * count since it is simply a shift or move.)
+ *
+ * An alternate reduction method, also based on Barrett reduction and
+ * described in [1], uses only shifts and XORs --- no multiplications.
+ * However, the method with multiplications requires fewer instructions
+ * and is faster on processors with fast carryless multiplication.
+ *
+ * [1] "Intel Carry-Less Multiplication Instruction and its Usage for
+ * Computing the GCM Mode",
+ * https://software.intel.com/sites/default/files/managed/72/cc/clmul-wp-rev-2.02-2014-04-20.pdf
+ */
+
+ /* 256-bit product is XH[1]:XM:XL[0], so c(x) is XH[1]:XM[1] */
+
+ /* T1 = t(x) = g*(x)(c(x)/x^64) */
+ pmull2 T1.1q, GSTAR.2d, XH.2d
+
+ /* T2 = g*(x)((c(x) mod x^64) + t(x)/x^64) */
+ eor T2.16b, XM.16b, T1.16b
+ pmull2 T2.1q, GSTAR.2d, T2.2d
+
+ /* Make XL[0] be the low half of the 128-bit result by adding the low 64
+ * bits of the T2 term to what was already there. The 't(x)x^64' term
+ * makes no difference, so skip it. */
+ eor XL.16b, XL.16b, T2.16b
+
+ /* Make XL[1] be the high half of the 128-bit result by adding the high
+ * 64 bits of the 't(x)x^64' and T2 terms to what was already in XM[0],
+ * then moving XM[0] to XL[1]. */
+ eor XM.16b, XM.16b, T1.16b
+ ext T2.16b, T2.16b, T2.16b, #8
+ eor XM.16b, XM.16b, T2.16b
+ mov XL.d[1], XM.d[0]
+
+ /* If more blocks remain, then loop back to process the next block;
+ * else, store the digest and return. */
+ cbnz w3, 0b
+ st1 {XL.16b}, [x0]
+ ret
+ENDPROC(pmull_poly_hash_update)
--- /dev/null
+/*
+ * Accelerated poly_hash implementation with ARMv8 PMULL instructions.
+ *
+ * Based on ghash-ce-glue.c.
+ *
+ * poly_hash is part of the HEH (Hash-Encrypt-Hash) encryption mode, proposed in
+ * Internet Draft https://tools.ietf.org/html/draft-cope-heh-01.
+ *
+ * poly_hash is very similar to GHASH: both algorithms are keyed hashes which
+ * interpret their input data as coefficients of a polynomial over GF(2^128),
+ * then calculate a hash value by evaluating that polynomial at the point given
+ * by the key, e.g. using Horner's rule. The difference is that poly_hash uses
+ * the more natural "ble" convention to represent GF(2^128) elements, whereas
+ * GHASH uses the less natural "lle" convention (see include/crypto/gf128mul.h).
+ * The ble convention makes it simpler to implement GF(2^128) multiplication.
+ *
+ * Copyright (C) 2014 Linaro Ltd. <ard.biesheuvel@linaro.org>
+ * Copyright (C) 2017 Google Inc. <ebiggers@google.com>
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License version 2 as published
+ * by the Free Software Foundation.
+ */
+
+#include <asm/neon.h>
+#include <crypto/b128ops.h>
+#include <crypto/internal/hash.h>
+#include <linux/cpufeature.h>
+#include <linux/crypto.h>
+#include <linux/module.h>
+
+/*
+ * Note: in this algorithm we currently use 'le128' to represent GF(2^128)
+ * elements, even though poly_hash-generic uses 'be128'. Both types are
+ * actually "wrong" because the elements are actually in 'ble' format, and there
+ * should be a ble type to represent this --- as well as lle, bbe, and lbe types
+ * for the other conventions for representing GF(2^128) elements. But
+ * practically it doesn't matter which type we choose here, so we just use le128
+ * since it's arguably more accurate, while poly_hash-generic still has to use
+ * be128 because the generic GF(2^128) multiplication functions all take be128.
+ */
+
+struct poly_hash_desc_ctx {
+ le128 digest;
+ unsigned int count;
+};
+
+asmlinkage void pmull_poly_hash_update(le128 *digest, const le128 *key,
+ const u8 *src, unsigned int blocks,
+ unsigned int partial);
+
+static int poly_hash_setkey(struct crypto_shash *tfm,
+ const u8 *key, unsigned int keylen)
+{
+ if (keylen != sizeof(le128)) {
+ crypto_shash_set_flags(tfm, CRYPTO_TFM_RES_BAD_KEY_LEN);
+ return -EINVAL;
+ }
+
+ memcpy(crypto_shash_ctx(tfm), key, sizeof(le128));
+ return 0;
+}
+
+static int poly_hash_init(struct shash_desc *desc)
+{
+ struct poly_hash_desc_ctx *ctx = shash_desc_ctx(desc);
+
+ ctx->digest = (le128) { 0 };
+ ctx->count = 0;
+ return 0;
+}
+
+static int poly_hash_update(struct shash_desc *desc, const u8 *src,
+ unsigned int len)
+{
+ struct poly_hash_desc_ctx *ctx = shash_desc_ctx(desc);
+ unsigned int partial = ctx->count % sizeof(le128);
+ u8 *dst = (u8 *)&ctx->digest + partial;
+
+ ctx->count += len;
+
+ /* Finishing at least one block? */
+ if (partial + len >= sizeof(le128)) {
+ const le128 *key = crypto_shash_ctx(desc->tfm);
+
+ if (partial) {
+ /* Finish the pending block. */
+ unsigned int n = sizeof(le128) - partial;
+
+ len -= n;
+ do {
+ *dst++ ^= *src++;
+ } while (--n);
+ }
+
+ /*
+ * Do the real work. If 'partial' is nonzero, this starts by
+ * multiplying 'digest' by 'key'. Then for each additional full
+ * block it adds the block to 'digest' and multiplies by 'key'.
+ */
+ kernel_neon_begin_partial(8);
+ pmull_poly_hash_update(&ctx->digest, key, src,
+ len / sizeof(le128), partial);
+ kernel_neon_end();
+
+ src += len - (len % sizeof(le128));
+ len %= sizeof(le128);
+ dst = (u8 *)&ctx->digest;
+ }
+
+ /* Continue adding the next block to 'digest'. */
+ while (len--)
+ *dst++ ^= *src++;
+ return 0;
+}
+
+static int poly_hash_final(struct shash_desc *desc, u8 *out)
+{
+ struct poly_hash_desc_ctx *ctx = shash_desc_ctx(desc);
+ unsigned int partial = ctx->count % sizeof(le128);
+
+ /* Finish the last block if needed. */
+ if (partial) {
+ const le128 *key = crypto_shash_ctx(desc->tfm);
+
+ kernel_neon_begin_partial(8);
+ pmull_poly_hash_update(&ctx->digest, key, NULL, 0, partial);
+ kernel_neon_end();
+ }
+
+ memcpy(out, &ctx->digest, sizeof(le128));
+ return 0;
+}
+
+static struct shash_alg poly_hash_alg = {
+ .digestsize = sizeof(le128),
+ .init = poly_hash_init,
+ .update = poly_hash_update,
+ .final = poly_hash_final,
+ .setkey = poly_hash_setkey,
+ .descsize = sizeof(struct poly_hash_desc_ctx),
+ .base = {
+ .cra_name = "poly_hash",
+ .cra_driver_name = "poly_hash-ce",
+ .cra_priority = 300,
+ .cra_ctxsize = sizeof(le128),
+ .cra_module = THIS_MODULE,
+ },
+};
+
+static int __init poly_hash_ce_mod_init(void)
+{
+ return crypto_register_shash(&poly_hash_alg);
+}
+
+static void __exit poly_hash_ce_mod_exit(void)
+{
+ crypto_unregister_shash(&poly_hash_alg);
+}
+
+MODULE_DESCRIPTION("Polynomial evaluation hash using ARMv8 Crypto Extensions");
+MODULE_AUTHOR("Eric Biggers <ebiggers@google.com>");
+MODULE_LICENSE("GPL v2");
+
+module_cpu_feature_match(PMULL, poly_hash_ce_mod_init);
+module_exit(poly_hash_ce_mod_exit);
select CRYPTO_ECB
select CRYPTO_GF128MUL
select CRYPTO_MANAGER
+ select CRYPTO_POLY_HASH_ARM64_CE if ARM64 && KERNEL_MODE_NEON
help
HEH: Hash-Encrypt-Hash mode
HEH is a proposed block cipher mode of operation which extends the