papers/lp-137-gpu-crypto-stack/references.bib

% --- Lux Improvement Proposals ---

@misc{lp137,
  title = {LP-137: GPU-Native Crypto Stack},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-137.md}},
}

@misc{lp137benchmarks,
  title = {LP-137 Benchmarks: Reproducible bench-ladder JSON and \texttt{ACTUAL-STATE} reconciliation},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-137-BENCHMARKS.md}},
}

@misc{lp124,
  title = {LP-124: Ed25519 Signature Scheme},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-124-ed25519.md}},
}

@misc{lp146,
  title = {LP-146: BN254 Pairing-Friendly Curve},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-146-bn254.md}},
}

@misc{lp147,
  title = {LP-147: secp256k1 Curve and ECDSA},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-147-secp256k1.md}},
}

@misc{lp160,
  title = {LP-160: Batched Montgomery Inversion (3-Backend Uniform)},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-160-batch-inv.md}},
}

@misc{lp161,
  title = {LP-161: Multi-Curve Pippenger MSM},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-161-multi-curve-msm.md}},
}

@misc{lp162,
  title = {LP-162: Combined-Pair Miller Loop},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-162-combined-miller.md}},
}

@misc{lp163,
  title = {LP-163: Big-Integer Karatsuba modexp},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-163-karatsuba-modexp.md}},
}

@misc{lp164,
  title = {LP-164: Extended-N Lattice NTT (Six-Step)},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-164-six-step-ntt.md}},
}

@misc{lp165,
  title = {LP-165: Pedersen Tree-Reduce Vector Commit},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-165-pedersen-tree-reduce.md}},
}

@misc{lp166,
  title = {LP-166: Threshold Pre-Signing Batch Kernel},
  author = {{Lux Core Team}},
  year = {2026},
  howpublished = {\url{https://github.com/luxfi/lps/blob/main/LP-166-threshold-presign.md}},
}

% --- Standards (EIPs, RFCs, FIPS) ---

@misc{eip196,
  title = {EIP-196: Precompiled contracts for addition and scalar multiplication on the elliptic curve alt\_bn128},
  author = {Vitalik Buterin and Christian Reitwiessner},
  year = {2017},
  howpublished = {\url{https://eips.ethereum.org/EIPS/eip-196}},
}

@misc{eip197,
  title = {EIP-197: Precompiled contracts for optimal ate pairing check on the elliptic curve alt\_bn128},
  author = {Vitalik Buterin and Christian Reitwiessner},
  year = {2017},
  howpublished = {\url{https://eips.ethereum.org/EIPS/eip-197}},
}

@misc{rfc7693,
  title = {The {BLAKE2} Cryptographic Hash and Message Authentication Code},
  author = {Saarinen, Markku-Juhani and Aumasson, Jean-Philippe},
  year = {2015},
  howpublished = {RFC 7693, IETF},
}

@misc{rfc8032,
  title = {Edwards-Curve Digital Signature Algorithm ({EdDSA})},
  author = {Josefsson, Simon and Liusvaara, Ilari},
  year = {2017},
  howpublished = {RFC 8032, IETF},
}

@misc{rfc9380,
  title = {Hashing to Elliptic Curves},
  author = {Faz-Hernandez, Armando and Scott, Sam and Sullivan, Nick and Wahby, Riad S. and Wood, Christopher A.},
  year = {2023},
  howpublished = {RFC 9380, IETF},
}

@misc{rfc9591,
  title = {The Flexible Round-Optimized {Schnorr} Threshold ({FROST}) Protocol for Two-Round {Schnorr} Signatures},
  author = {Connolly, Deirdre and Komlo, Chelsea and Goldberg, Ian and Wood, Christopher A.},
  year = {2024},
  howpublished = {RFC 9591, IETF},
}

@misc{fips180,
  title = {{FIPS} 180-4: Secure Hash Standard ({SHS})},
  author = {{NIST}},
  year = {2015},
  howpublished = {\url{https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.180-4.pdf}},
}

@misc{fips202,
  title = {{FIPS} 202: {SHA-3} Standard: Permutation-Based Hash and Extendable-Output Functions},
  author = {{NIST}},
  year = {2015},
  howpublished = {\url{https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf}},
}

@misc{fips203,
  title = {{FIPS} 203: Module-Lattice-Based Key-Encapsulation Mechanism Standard ({ML-KEM})},
  author = {{NIST}},
  year = {2024},
  howpublished = {\url{https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.203.pdf}},
}

@misc{fips204,
  title = {{FIPS} 204: Module-Lattice-Based Digital Signature Standard ({ML-DSA})},
  author = {{NIST}},
  year = {2024},
  howpublished = {\url{https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.204.pdf}},
}

@misc{fips205,
  title = {{FIPS} 205: Stateless Hash-Based Digital Signature Standard ({SLH-DSA})},
  author = {{NIST}},
  year = {2024},
  howpublished = {\url{https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.205.pdf}},
}

% --- Software references / test oracles ---

@misc{gnarkcrypto,
  title = {\texttt{gnark-crypto}: A {Go} library for finite-field arithmetic, elliptic-curve cryptography, and pairings},
  author = {{ConsenSys}},
  year = {2026},
  note = {Version v0.19.2; pinned as test oracle for BN254 and BLS12-381},
  howpublished = {\url{https://github.com/Consensys/gnark-crypto/releases/tag/v0.19.2}},
}

@misc{arkworks,
  title = {\texttt{arkworks}: A {Rust} ecosystem for zk{SNARK} programming},
  author = {{arkworks contributors}},
  year = {2024},
  howpublished = {\url{https://github.com/arkworks-rs/algebra}},
}

@misc{blst,
  title = {\texttt{blst}: Multilingual {BLS12-381} signature library},
  author = {{Supranational}},
  year = {2024},
  howpublished = {\url{https://github.com/supranational/blst}},
}

@misc{pqclean,
  title = {\texttt{PQClean}: Clean, portable, tested implementations of post-quantum cryptography},
  author = {{PQClean contributors}},
  year = {2024},
  howpublished = {\url{https://github.com/PQClean/PQClean}},
}

@misc{lattigo,
  title = {\texttt{Lattigo}: A library for lattice-based homomorphic encryption in {Go}},
  author = {{EPFL-LDS / Tune Insight}},
  year = {2024},
  howpublished = {\url{https://github.com/tuneinsight/lattigo}},
}

@misc{wycheproof,
  title = {Project Wycheproof: cryptographic test vectors},
  author = {{Google}},
  year = {2024},
  howpublished = {\url{https://github.com/C2SP/wycheproof}},
}

% --- Academic ---

@inproceedings{cggmp21,
  title = {{UC} Non-Interactive, Proactive, Threshold {ECDSA} with Identifiable Aborts},
  author = {Canetti, Ran and Gennaro, Rosario and Goldfeder, Steven and Makriyannis, Nikolaos and Peled, Udi},
  booktitle = {ACM CCS 2020},
  year = {2020},
}

@inproceedings{bulletproofs,
  title = {Bulletproofs: Short Proofs for Confidential Transactions and More},
  author = {B{\"u}nz, Benedikt and Bootle, Jonathan and Boneh, Dan and Poelstra, Andrew and Wuille, Pieter and Maxwell, Greg},
  booktitle = {IEEE S\&P 2018},
  year = {2018},
}

@misc{bandersnatch,
  title = {Bandersnatch: a Twisted {Edwards} curve over the {BLS12-381} scalar field},
  author = {Hopwood, Daira and Sinha, Roman and Buterin, Vitalik},
  year = {2021},
  howpublished = {\url{https://github.com/asanso/Bandersnatch}},
}

@inproceedings{frost,
  title = {{FROST}: Flexible Round-Optimized {Schnorr} Threshold Signatures},
  author = {Komlo, Chelsea and Goldberg, Ian},
  booktitle = {SAC 2020},
  year = {2020},
}

@misc{lamport79,
  title = {Constructing digital signatures from a one-way function},
  author = {Lamport, Leslie},
  year = {1979},
  howpublished = {SRI Tech Report CSL-98},
}

@inproceedings{aranha2010,
  title = {Faster Explicit Formulas for Computing Pairings over Ordinary Curves},
  author = {Aranha, Diego F. and Karabina, Koray and Longa, Patrick and Gebotys, Catherine H. and Lop\'ez, Julio},
  booktitle = {EUROCRYPT 2011},
  year = {2011},
}

@inproceedings{longa2016,
  title = {Speeding up the Number-Theoretic Transform for Faster Ideal Lattice-Based Cryptography},
  author = {Longa, Patrick and Naehrig, Michael},
  booktitle = {CANS 2016},
  year = {2016},
}

@article{bailey1990,
  title = {{FFTs} in External or Hierarchical Memory},
  author = {Bailey, David H.},
  journal = {Journal of Supercomputing},
  volume = {4},
  number = {1},
  pages = {23--35},
  year = {1990},
}

@inproceedings{pippenger,
  title = {On the Evaluation of Powers and Monomials},
  author = {Pippenger, Nicholas},
  booktitle = {SIAM Journal on Computing},
  year = {1980},
}

@article{karatsuba1962,
  title = {Multiplication of multi-digit numbers on automata},
  author = {Karatsuba, Anatoly and Ofman, Yuri},
  journal = {Soviet Physics Doklady},
  volume = {7},
  pages = {595--596},
  year = {1962},
}

@book{knuthtaocp2,
  title = {The Art of Computer Programming, Volume 2: Seminumerical Algorithms},
  author = {Knuth, Donald E.},
  publisher = {Addison-Wesley},
  note = {Algorithm D (multiple-precision division), \S 4.3.1},
}

@misc{luxlightspeeddex,
  title = {Lux Lightspeed DEX: On-Chain Order Book with Sub-Second Finality},
  author = {{Lux Industries, Inc.}},
  howpublished = {Lux Technical Report},
}