|| On interpolation-based decoding of a class of maximum rank distance codes
||Wrya K. Kadir, Chunlei Li, University of Bergen, Norway; Ferdinando Zullo, Università degli Studi della Campania “Luigi Vanvitelli”, Italy|
||D1-S1-T2: Rank-Metric Codes I
||Monday, 12 July, 22:00 - 22:20
||Monday, 12 July, 22:20 - 22:40
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.