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arXiv · 2105.03115

On interpolation-based decoding of a class of maximum rank distance codes

Wrya K. Kadir·Chunlei Li·Ferdinando Zullo
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Abstract

In this paper we present an interpolation-based decoding algorithm to decode a family of maximum rank distance codes proposed recently by Trombetti and Zhou. We employ the properties of the Dickson matrix associated with a linearized polynomial with a given rank and the modified Berlekamp-Massey algorithm in decoding. When the rank of the error vector attains the unique decoding radius, the problem is converted to solving a quadratic polynomial, which ensures that the proposed decoding algorithm has polynomial-time complexity.

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Wrya K. Kadir, Chunlei Li, Ferdinando Zullo. 2021-05-07. On interpolation-based decoding of a class of maximum rank distance codes. https://arxiv.org/abs/2105.03115

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