Linearized Polynomial Chinese remainder codes

Published 21 May 2025 in math.RA, cs.IT, cs.SC, and math.IT | (2505.15720v1)

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.

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