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A Discrete Logarithm-based Approach to Compute Low-Weight Multiples of Binary Polynomials

Discrete Mathematics 2016-04-01 v2 Cryptography and Security Information Theory math.IT

Abstract

Being able to compute efficiently a low-weight multiple of a given binary polynomial is often a key ingredient of correlation attacks to LFSR-based stream ciphers. The best known general purpose algorithm is based on the generalized birthday problem. We describe an alternative approach which is based on discrete logarithms and has much lower memory complexity requirements with a comparable time complexity.

Keywords

Cite

@article{arxiv.1411.4024,
  title  = {A Discrete Logarithm-based Approach to Compute Low-Weight Multiples of Binary Polynomials},
  author = {P. Peterlongo and M. Sala and C. Tinnirello},
  journal= {arXiv preprint arXiv:1411.4024},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T06:59:31.760Z