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 $C$ . 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 $μ_{n} = det (M_{n})$ 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},
      url = {https://eprint.iacr.org/2022/1287}
}