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arXiv 2601.03465cs.CRmath.GR
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LINEture后量子数字签名方案的安全参数分析

Security Parameter Analysis of the LINEture Post-Quantum Digital Signature Scheme

Kharkiv National University of Radio electronics(哈尔科夫国立无线电电子大学);Yevhenii Bereznyak Military Academy(叶夫根尼·别列兹尼亚克军事学院)

Yevgen Kotukh, Gennady Khalimov

AI总结:

LINEture后量子数字签名方案的安全参数分析,探讨了参数m、l、q对密码强度的影响,并提出了优化选择规则以提高加密效率。

摘要:

本文对LINEture后量子数字签名方案的安全参数进行了全面的密码学分析,该方案是基于初等2-群上矩阵代数构建的。我们研究了三个主要参数的影响。首先,单词大小m(具有二次影响),其次是向量维度l,第三是会话密钥中的子矩阵数量q(具有线性影响)对密码强度的影响。我们的分析揭示了参数l的双重性质。根据之前的分析,它不影响对猜测攻击的抵抗力。对验证机制的深入研究显示,l建立了一种l次m位的验证障碍。我们建立了阈值关系l小于q减1次m,低于此阈值,参数l变得安全关键。提出了最优选择规则l接近q减1次m以实现最大密码学效率。与NIST PQC标准的比较分析和实际参数建议也提供了。

英文摘要:

This paper presents a comprehensive cryptographic analysis of the security parameters of the LINEture post-quantum digital signature scheme, which is constructed using matrix algebra over elementary abelian 2-groups. We investigate the influence of three principal parameters. First, the word size m (exhibiting quadratic impact), the second is a vector dimension l, and the third is a number of submatrices in the session key q (exhibiting linear impact) on cryptographic strength. Our analysis reveals a dualistic nature of the parameter l. According to the previous analysis, it does not affect resistance to guessing attacks. A deeper examination of the verification mechanism demonstrates that l establishes a kind of verification barrier of l times m bits. We establish the threshold relationship l less q minus 1 times m, below which parameter l becomes security-critical. The optimal selection rule l near q minus 1 times m is proposed for maximum cryptographic efficiency. Comparative analysis with NIST PQC standards and practical parameter recommendations are provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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