Paper 2022/1287 Original: eprint.iacr.org/2022/1287 ↗

On a Conjecture From a Failed CryptoAnalysis

Shengtong Zhang
Abstract

Let $P(x, y)$ be a bivariate polynomial with coefficients in $\mathbb{C}$. Form the $n \times n$ matrices $L_n$ whose elements are defined by $P(i, j)$. Define the matrices $M_n = I_n - L_n $. We show that $\mu_n = \det(M_n)$ is a polynomial in $n$, thus answering a conjecture of Naccache and Yifrach-Stav.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2022-10-03: last updated
2022-09-28: published
Short URL
https://ia.cr/2022/1287
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1287,
      author = {Shengtong Zhang},
      title = {On a Conjecture From a Failed CryptoAnalysis},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1287},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1287}
}
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