Page 83 - 《软件学报》2025年第10期

4480 软件学报 2025 年第 36 卷第 10 期

1976.1055638]
[2] Shor PW. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Review, 1999,
41(2): 303–332. [doi: 10.1137/S0036144598347011]
[3] Shor PW. Algorithms for quantum computation: Discrete logarithms and factoring. In: Proc. of the 35th Annual Symp. on Foundations of
Computer Science. Santa Fe: IEEE, 1994. 124–134. [doi: 10.1109/SFCS.1994.365700]
[4] Grover LK. A fast quantum mechanical algorithm for database search. In: Proc. of the 28th Annual ACM Symp. on Theory of
Computing. 1996. 212–219.
[5] National Institute of Standards and Technology. Post-quantum cryptography—Call for proposals. 2017. https://csrc.nist.gov/Projects/post-
quantum-cryptography/post-quantum-cryptography-standardization/Call-for-Proposals
[6] Chinese Association for Cryptologic Research. Public key algorithms selected to the second round competition of national cyptographic
algorithm competitions. 2019. https://sfjs.cacrnet.org.cn/site/term/list_77_1.html
[7] National Institute of Standards and Technology. Post-quantum cryptography—Round 3 submissions. 2020. https://csrc.nist.gov/Projects/
post-quantum-cryptography/post-quantum-cryptography-standardization/round-3-submissions
[8] Kumari S, Singh M, Singh R, Tewari H. Signature based Merkle Hash Multiplication algorithm to secure the communication in IoT
devices. Knowledge-based Systems, 2022, 253: 109543. [doi: 10.1016/j.knosys.2022.109543]
[9] Engelbert D, Overbeck R, Schmidt A. A summary of McEliece-type cryptosystems and their security. Journal of Mathematical
Cryptology, 2007, 1(2): 151–199. [doi: 10.1515/JMC.2007.009]
[10] Courtois N, Klimov A, Patarin J, Shamir A. Efficient algorithms for solving overdefined systems of multivariate polynomial equations.
In: Proc. of the 2000 Int’l Conf. on the Theory and Applications of Cryptographic Techniques. Belgium: Springer, 2000. 392–407.
[doi: 10.1007/3-540-45539-6_27]
[11] Peng C, Chen JH, Zeadally S, He DB. Isogeny-based cryptography: A promising post-quantum technique. IT Professional, 2019, 21(6):
27–32. [doi: 10.1109/MITP.2019.2943136]
[12] Nejatollahi H, Dutt N, Ray S, Regazzoni F, Banerjee I, Cammarota R. Post-quantum lattice-based cryptography implementations: A
survey. ACM Computing Surveys (CSUR), 2019, 51(6): 129. [doi: 10.1145/3292548]
[13] Avanzi R, Bos J, Ducas L, Kiltz E, Lepoint T, Lyubashevsky V, Schanck JM, Schwabe P, Seiler G, Stehlé D. CRYSTALS-Kyber:
Algorithm specifications and supporting documentation (version 3.01). 2021. https://pq-crystals.org/kyber/data/kyber-specificationround3-
20210131.pdf
[14] Bai S, Ducas L, Kiltz E, Lepoint T, Lyubashevsky V, Schwabe P, Seiler G, Stehlé D. CRYSTALS-Dilithium algorithm specifications and
supporting documentation (version 3.1). 2021. https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
[15] Fouque PA, Hoffstein J, Kirchner P, Lyubashevsky V, Pornin T, Prest T, Ricosset T, Seiler G, Whyte W, Zhang ZF. Falcon: Fast-Fourier
lattice-based compact signatures over NTRU (Specification v1.2). NIST PQC Round 3 Submission, 2020. https://falcon-sign.info/falcon.
pdf
[16] National Institute of Standards and Technology. PQC standardization process: Announcing four candidates to be standardized, plus fourth
round candidates. 2022. https://csrc.nist.gov/News/2022/pqc-candidates-to-be-standardized-and-round-4
[17] National Institute of Standards and Technology. Module-lattice-based digital signature standard. 2024. https://nvlpubs.nist.gov/nistpubs/
FIPS/NIST.FIPS.204.pdf
[18] Langlois A, Stehlé D. Worst-case to average-case reductions for module lattices. Designs, Codes and Cryptography, 2015, 75(3):
565–599. [doi: 10.1007/s10623-014-9938-4]
[19] Kannwischer MJ, Rijneveld J, Schwabe P, Stoelen K. pqm4: Testing and Benchmarking NIST PQC on ARM Cortex-M4. Cryptology
ePrint Archive, 2019/844, 2019.
[20] Kim Y, Song JY, Youn TY, Seo SC. Crystals-Dilithium on ARMv8. Security and Communication Networks, 2022, 2022: 5226390. [doi:
10.1155/2022/5226390]
[21] Zheng JY, He F, Shen SY, Xue CX, Zhao YL. Parallel small polynomial multiplication for Dilithium: A faster design and
implementation. In: Proc. of the 38th Annual Computer Security Applications Conf. Austin: ACM, 2022. 304–317. [doi: 10.1145/
3564625.3564629]
[22] Soni D, Basu K, Nabeel MM, Karri R. A hardware evaluation study of NIST post-quantum cryptographic signature schemes. In: Proc. of
the 2nd PQC Standardization Conf. National Institute of Standards and Technology, 2019. https://api.semanticscholar.org/CorpusID:
198939541
[23] Ricci S, Malina L, Jedlicka P, Smékal D, Hajny J, Cibik P, Dzurenda P, Dobias P. Implementing CRYSTALS-Dilithium signature
scheme on FPGAs. In: Proc. of the 16th Int’l Conf. on Availability, Reliability and Security. Vienna: ACM, 2021. 1–11. [doi: 10.1145/