On a Conjecture From a Failed CryptoAnalysis

Shengtong Zhang

Paper 2022/1287

On a Conjecture From a Failed CryptoAnalysis

Shengtong Zhang

, Stanford University

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.
Keywords: polynomial identity
Contact author(s): stzh1555 @ stanford edu
History: 2022-10-03: revised; 2022-09-28: received; See all versions
Short URL: https://ia.cr/2022/1287
License: CC BY

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},
      note = {\url{https://eprint.iacr.org/2022/1287}},
      url = {https://eprint.iacr.org/2022/1287}
}