Geodesic
Parameter analysis of the post-quantum Hypericum signature scheme
Prikladnaya Diskretnaya Matematika. Supplement, no. 17 (2024), pp. 119-120.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the parameter analysis of the of post-quantum stateless hash-based signature schemes (SPHINCS$^+$, SPHINCS$^+$C, and Hypericum). New parameter sets are proposed to provide 120-bit security against forgery by a quantum adversary. The selection of sets was carried out taking into account the application characteristics and possible areas of application of the schemes under consideration.
Mots-clés : Hypericum, SPHINCS$^+$
Keywords: post-quantum cryptography, signature schemes. 
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O. Yu. Turchenko; S. R. Usmanov. Parameter analysis of the post-quantum Hypericum signature scheme. Prikladnaya Diskretnaya Matematika. Supplement, no. 17 (2024), pp. 119-120. http://geodesic.mathdoc.fr/item/PDMA_2024_17_a27/

[1] , SPHINCS$^+$ https://sphincs.org/data/sphincs+-r3.1-specification.pdf

[2] , NIST https://csrc.nist.gov/Projects/Post-Quantum-Cryptography

[3] FIPS 205, https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.205.ipd.pdf

[4] Hülsing A., Kudinov M., Ronen E., and Yogev E., “SPHINCS$^+$C: Compressing SPHINCS$^+$ with (almost) no cost”, IEEE Symp. Security Privacy (San Francisco), 2023, 1435–1453

[5] Zhang K., Cui H., and Yu Y., SPHINCS-$\alpha$: A Compact Stateless Hash-Based Signature Scheme, Cryptology ePrint Archive. Paper 2022/059, 2022, 23 pp.

[6] Giperikum. Proekt kvantovo-ustoichivoi tsifrovoi podpisi dlya standartizatsii v Rossii, https://www.ruscrypto.ru/resource/archive/rc2023/files/02_grebnev.pdf

[7] Kolbl S., Philipoom J., A Note on SPHINCS$^+$ Parameter Sets, Cryptology ePrint Archive. Paper 2022/1725, 2022, 11 pp.

[8] Lee J., Kang T. G., Cho K., Yum D. H., “New parameter sets for SPHINCS$^+$”, IEICE Trans. Inform. Systems, 2021, no. 6, 890–892 | DOI

[9] XMSS: eXtended Merkle Signature Scheme, https://datatracker.ietf.org/doc/html/rfc8391

[10] GOST 34.11-2018, https://protect.gost.ru/document.aspx?control=7&id=232143