nettle-bugs

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3 participants
2210 discussions

curve25519 progress
by nisse＠lysator.liu.se 22 Oct '14

22 Oct '14

I've now pushed some crude code (on the curve25519 branch) which agrees with the test vectors in draft-josefsson-tls-curve25519-05. It uses the equivalent Edwards curve for the internal operations. For scalar multiplication of the fix generator, it uses Pippenger's algorithm and tables very similar to the other curves, just with different point operations and no special caes (since the Edwards operations are "complete"). At the end, the x-coordinate of the corresponding point on the Montgomery-form curve25519 is computed. For scalar multiplication of an arbitrary point (with only x coordinate provided), I first have to compute the y-coordinate using Shanks-Tonelli (this could be used to implement "point compression") also for other curves). Then transform to a point on the Edwards curve, using homogeneneous/projective coordinates. Then the actual scalar multiply is currently done with the binary algorithm; I have code for window-based scalar multiply, but it needs a bit more debugging. All this is very similar to the other corves, but without special cases. Regards, /Niels -- Niels Möller. PGP-encrypted email is preferred. Keyid C0B98E26. Internet email is subject to wholesale government surveillance.

4 18

ecc_curve and ecc_modulo
by nisse＠lysator.liu.se 24 Sep '14

24 Sep '14

I just pushed some reorganization of the ecc code. It introduces an internal struct ecc_modulo, which keeps the data and function pointers needed for modulo p (or modulo q) arithmetic. Immediate benefit was that a couple of wrapper functions could be deleted. E.g, ecc_generic_modp and ecc_generic_modq both called ecc_mod, but with different constants taken from different fields of struct ecc_curve). Now, one can instead call ecc_mod (&ecc->p, ...) and ecc_mod(&ecc->q, ...), respectively. I also added an invert function pointer, and wrote a specialized modp invert function for curve25519, which gives a nice little speedup. The code can be shared with sqrt, since the main part of the addition chain is the same for p-2 = 2^{255} - 21 (for invert) and (p-5)/8 = 2^{252} - 3 (for sqrt). Similar functions for the secp curves also make sense, at least for the mod p inversion; modq is less structured. The plan is to expand struct ecc_modulo with add, mul and sqr function pointers, to make it possible to have a different internal representation. In particular, using radix-51 for curve25519 modp arithmetic, on 64-bit machines. Regards, /Niels -- Niels Möller. PGP-encrypted email is preferred. Keyid C0B98E26. Internet email is subject to wholesale government surveillance.

1 0

Hashing with EdDSA
by nisse＠lysator.liu.se 09 Sep '14

09 Sep '14

I'm looking into EdDSA. According to the paper, signing of a message M, using private key (a, k), corresponding to public key A, is essentially r = H(k | M), with k the second half of the private key R = rB, with B the specified generator of the curve, S = ((r + H(R | A | M) a) mod l, l is the curve order with some rules to encode R, A, S as strings. H is typically sha-512. If M is the original, arbitrarily long, message to be signed, this breaks the common structure that you can first compute a message digest, and then apply the secret key to produce a signature. But this doesn't work above, because the complete message has to be hashed twice, first with the secret prefix k, next with the prefix R | A, and any hashing without the private key available is useless. And even worse, one has to buffer the complete message because the prefix of the second hash depends on the output of the first hash. Or should M itself be a digest of the message to be signed? That will enable a more main-stream signature interface, where the inputs to the signature function are the private key and the short message digest. Regards, /Niels -- Niels Möller. PGP-encrypted email is preferred. Keyid C0B98E26. Internet email is subject to wholesale government surveillance.

2 4

Simplifying pic vs non-pic object files
by nisse＠lysator.liu.se 04 Sep '14

04 Sep '14

Currently, the nettle Makefile creates two object files for each source file, .o for inclusion in the static library, and .po ("pure object") for the shared library. By default, both are compiled as pic code, but --disable-pic drops the pic flags when compiling the .o files, to get non-pic code into the static library. I'm considering dropping this complication. Just build a single .o file, which is pic by default, and non-pic if --disable-pic is given. To build a non-pic static library, one would configure with "--disable-pic --disable-shared" (since just --disable-pic would produce a shared library with non-pic code, which is highly undesirable). And to produce a static non-pic library and a shared pic library, one would need to use separate build trees. Does that make sense? It would make things simpler, shorten build time, and eliminate the problem of naming two types of object files. One might also have --disable-pic imply --disable-shared (unless explicitly overridden by the user). Regards, /Niels -- Niels Möller. PGP-encrypted email is preferred. Keyid C0B98E26. Internet email is subject to wholesale government surveillance.

2 2

[PATCH 1/5] Don't include OPT_ASM_SOURCES twice in hogweed_PURE_OBJS
by Martin Storsjö 25 Aug '14

25 Aug '14

OPT_ASM_SOURCES is already included via hogweed_OBJS. This avoids build errors about duplicate symbols in the shared library. --- Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Makefile.in b/Makefile.in index 1ec807b..2db76c5 100644 --- a/Makefile.in +++ b/Makefile.in @@ -180,7 +180,7 @@ nettle_OBJS = $(nettle_SOURCES:.c=.$(OBJEXT)) $(LIBOBJS) nettle_PURE_OBJS = $(nettle_OBJS:.$(OBJEXT)=.p$(OBJEXT)) hogweed_OBJS = $(hogweed_SOURCES:.c=.$(OBJEXT)) $(OPT_ASM_SOURCES:.asm=.$(OBJEXT)) -hogweed_PURE_OBJS = $(hogweed_OBJS:.$(OBJEXT)=.p$(OBJEXT)) $(OPT_ASM_SOURCES:.asm=.p$(OBJEXT)) +hogweed_PURE_OBJS = $(hogweed_OBJS:.$(OBJEXT)=.p$(OBJEXT)) libnettle.a: $(nettle_OBJS) -rm -f $@ -- 1.7.9.4

5 29

curve25519
by nisse＠lysator.liu.se 12 Jul '14

12 Jul '14

I'v started to look closer at curve25519, and I've added support for it in the eccdata program. For the ecc operations, my current thinking is that one should use the Edwards curve equivalence outlined in http://cr.yp.to/papers.html#newelliptic, rather than the Montgomery x-coordinate method suggested in the curve25519 paper. The x-coordinate method needs an addition chain with additional values, which is a bit alien to all other scalar ecc multiplication in Nettle. The equivalent Edwards curve is x^2 + y^2 = 1 + (121665/121666) x^2 y^2 (mod p). Computations should be about as fast (according to the paper), and since the constant (121665/121666) is a non-square, the formulas are "complete", with no need to handle any special cases. One needs conversion of the coordinates, and one also needs a square root to get the y coordinate, but I hope that shouldn't be too difficult. Regards, /Niels -- Niels Möller. PGP-encrypted email is preferred. Keyid C0B98E26. Internet email is subject to wholesale government surveillance.

1 1

[PATCH] fix typo in ecc-mod.c
by Daniel Kahn Gillmor 12 Jul '14

12 Jul '14

--- ecc-mod.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ecc-mod.c b/ecc-mod.c index 7876d02..3301506 100644 --- a/ecc-mod.c +++ b/ecc-mod.c @@ -40,7 +40,7 @@ #include "ecc-internal.h" /* Computes r mod m, where m is of size mn. bp holds B^mn mod m, as mn - limbs, but the upper mn - bn libms are zero. */ + limbs, but the upper mn - bn limbs are zero. */ void ecc_mod (mp_limb_t *rp, mp_size_t rn, mp_size_t mn, const mp_limb_t *bp, mp_size_t bn, -- 2.0.0

2 1

[PATCH 1/3] Don't hardcode the -lgmp linker flag in the hogweed pkg-config file
by Martin Storsjö 27 Jun '14

27 Jun '14

--- hogweed.pc.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/hogweed.pc.in b/hogweed.pc.in index 457f5f2..839f7d0 100644 --- a/hogweed.pc.in +++ b/hogweed.pc.in @@ -13,6 +13,6 @@ URL: http://www.lysator.liu.se/~nisse/nettle Version: @PACKAGE_VERSION@ Requires.private: nettle Libs: -L${libdir} -lhogweed -Libs.private: -lgmp +Libs.private: @LIBS@ Cflags: -I${includedir} -- 1.8.5.2 (Apple Git-48)

2 4

nettle-mini
by Nikos Mavrogiannopoulos 27 Jun '14

27 Jun '14

Hello, I have put in https://github.com/nmav/nettle-mini/tree/gmp-mini a version of nettle that has an additional configure option. The --enable-mini-gmp. This will compile libghoweed using mini-gmp thus allowing nettle to be used in space constrained systems. Note that using nettle with mini-gmp instead of gmp imposes a penalty of around 10x, and may leak more information due to side-channels (this should not be the case for RSA as blinding is performed in hogweed, but I haven't checked the other algorithms). regards, Nikos

3 5

turn RSA blinding off in openssl
by Nikos Mavrogiannopoulos 24 Jun '14

24 Jun '14

2 1

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