[Resource Topic] 2022/1287: On a Conjecture From a Failed CryptoAnalysis

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Title:
On a Conjecture From a Failed CryptoAnalysis

Authors: 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.

ePrint: https://eprint.iacr.org/2022/1287

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