MAYO-C

This code is part of a NIST submission for the PQC signatures call.

MAYO-C is a C library implementation of MAYO, a multivariate quadratic signature scheme. It implements the following parameter sets:

Parameter Set	NIST Security Level	n	m	o	k	q	sk size	pk size	sig size
MAYO_1	1	66	64	8	9	16	24 B	1168 B	321 B
MAYO_2	1	78	64	18	4	16	24 B	5488 B	180 B
MAYO_3	3	99	96	10	11	16	32 B	2656 B	577 B
MAYO_5	5	133	128	12	12	16	40 B	5008 B	838 B

Requirements

• CMake (version 3.5 or later)
• C99-compatible compiler
• Valgrind (for dynamic testing)
• Clang static analyzer (version 10 or later, for static analysis)

Build

In the main directory, execute:

• mkdir -p build
• cd build
• cmake <Build Options> ..
• make

The following build options have been used to report performance numbers in the specification:

1. Reference: cmake -DMAYO_BUILD_TYPE=ref -DENABLE_AESNI=OFF ..
2. Optimized (AES-NI enabled): cmake -DMAYO_BUILD_TYPE=opt -DENABLE_AESNI=ON ..
3. Optimized (AES-NI disabled): cmake -DMAYO_BUILD_TYPE=opt -DENABLE_AESNI=OFF ..
4. AVX2: cmake -DMAYO_BUILD_TYPE=avx2 -DENABLE_AESNI=ON ..

Build options

CMake build options can be specified with -D<BUILD_OPTION>=<VALUE>.

ENABLE_TESTS

Builds a test harness for the library, the default value is ON.

ENABLE_CT_TESTING

Builds the library with instrumentation for constant-time behavior testing, the default value is OFF. Valgrind development files are used for this build option.

ENABLE_PARAMS_DYNAMIC

Builds the library as a single library dynamically supporting all mayo parameter sets. If the option is turned off, multiple libraries for each parameter sets are built, which usually comes with a performance gain. The default value is OFF.

ENABLE_STRICT

Builds the library in strict mode: warnings terminate compilation). The default value is ON.

MAYO_BUILD_TYPE

Specifies the build type for which Mayo is built. The options are ref, opt and avx2. The effect is the following:

• ref builds MAYO implemented with portable C code for native target architecture, using run-time parameters.
• opt builds MAYO implemented with optimized portable C code, compiled with -march=native (if available) and AES acceleration (if available)
• avx2 builds MAYO implemented with optimized AVX2 code, compiled with -march=native (if available) and AES acceleration (if available)

The default build type if none is specified is opt.

CMAKE_BUILD_TYPE

Can be used to specify special build types. The options are:

• ASAN: Builds with AddressSanitizer memory error detector.
• MSAN: Builds with MemorySanitizer detector for uninitialized reads.
• LSAN: Builds with LeakSanitizer for run-time memory leak detection.
• UBSAN: Builds with UndefinedBehaviorSanitizer for undefined behavior detection.

The default build type uses -O3 -Wstrict-prototypes -Wno-error=strict-prototypes -fvisibility=hidden -Wno-error=implicit-function-declaration -Wno-error=attributes.

Build artifacts

The following artifacts are built:

• libmayo_common_sys.a: library with common crypto - AES, Keccak and system random number generator.
• libmary_common_test.a: library with common crypto for deterministic tests - AES, Keccak and CTR-DRBG PRNG.
• libmayo_<level>.a: library for MAYO_<level>.
• libmayo_<level>_test: library for MAYO_<level>, only for test, using the deterministic CTR-DRBG as backend.
• libmayo_<level>_nistapi.a: library for MAYO_<level> against the NIST API.
• libmayo_<level>_nistapi_test.a: library for MAYO_<level> against the NIST API. Only for test, using the deterministic CTR-DRBG as backend.
• mayo_bench_<param>: Benchmarking suites.
• mayo_test_kat_<param> (opt and avx2), mayo_test_kat (ref): KAT test suites.
• mayo_test_scheme_<param> (opt and avx2), mayo_test_scheme (ref): Self-test suites.
• PQCgenKAT_sign_<param>: App for generating NIST KAT.
• example_<param> (opt and avx2), example_mayo (ref): Example app using the MAYO API.
• example_nistapi_<param>: Example app using the NIST API.

Test

In the build directory, run: make test.

The test harness consists of the following units:

• KAT test: tests against the KAT files in the KAT folder - MAYO_<level>_KAT
• Self-tests: runs random self-tests (key-generation, signing and verifying) - MAYO_<level>_SELFTEST

Known Answer Tests (KAT)

KAT are available in folder KAT. They can be generated by running the apps built in the apps folder:

• apps/PQCgenKAT_sign_mayo_1
• apps/PQCgenKAT_sign_mayo_2
• apps/PQCgenKAT_sign_mayo_3
• apps/PQCgenKAT_sign_mayo_5

A successful execution will generate the .req and .rsp files.

KAT verification is done as part of the test harness (see previous section).

Benchmarks

A benchmarking suite is built and runs with the following command, where params specifies the MAYO parameter set and runs the number of benchmark runs:

If MAYO_BUILD_TYPE is opt or avx2:

• test/mayo_bench_<param> <runs>,

If MAYO_BUILD_TYPE is ref:

• test/mayo_bench <param> <runs>,

The benchmarks profile the MAYO.CompactKeyGen, MAYO.expandSK, MAYO.expandSK, MAYO.sign and MAYO.verify functions. The results are reported in CPU cycles if available on the host platform, and timing in nanoseconds otherwise.

Examples

Example code that demonstrates how to use MAYO both via the MAYO API and NIST API are available in the apps folder:

• apps/example.c: Example with the MAYO API.
• apps/example_nistapi.c: Example with the NIST API.

Project Structure

• apps: Applications: KAT generation application
• include: MAYO public header files
• KAT: Known Answer Test files
• src: MAYO source code
• src/mayo_<x> MAYO implementation with NIST signature API
• src/common: MAYO common components (RNG, AES, SHAKE)
• src/generic: MAYO generic C source code
• src/<arch>: MAYO specific source code
• test: MAYO test code

License

MAYO-C is licensed under Apache-2.0. See LICENSE and NOTICE.

Third party code is used in some test and common code files:

• common/aes_c.c; MIT: "Copyright (c) 2016 Thomas Pornin [email protected]"
• common/aes128ctr.c: MIT: "Copyright (c) 2016-2021 Open Quantum Safe project" and Public Domain
• common/fips202.c: Public Domain
• common/randombytes_system.c: MIT: Copyright (c) 2017 Daan Sprenkels [email protected]
• apps/PQCgenKAT_sign.c, common/randombytes_ctrdrbg.c, test/test_kat.c: by NIST (Public Domain)

See also the SPDX License Identifiers in the respective files.

Citing

Bibtext:

@manual{mayo-c,
  title        = {MAYO C implementation},
  author       = {Ward Beullens and Fabio Campos and Sof\'{i}a Celi and Basil Hess and Matthias J. Kannwischer},
  note         = {Available at \url{https://github.com/PQCMayo/MAYO-C}. Accessed June, 2023},
  month        = jun,
  year         = {2023}
}