paper

Linearized Polynomial Chinese remainder codes

arXiv:2505.15720

Abstract

In this paper, we introduce a new family of codes relevent for rank and sum-rank metrics. These codes are based on an effective Chinese remainders theorem for linearized polynomials over finite fields. We propose a decoding algorithm for some instances of these codes.

26 pages, 7 figures

Linearized Polynomial Chinese remainder codes · wovepaper