New constructions of rank-metric codes with small tensor rank defect are developed using algebraic geometry codes, together with relations between tensor rank and parameters of associated Hamming-metric linear codes.
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An arithmetic criterion identifies non-special divisors of small degree in Kummer function fields and yields new LCP AG codes.
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Constructions of Rank-Metric Codes of Small Tensor Rank
New constructions of rank-metric codes with small tensor rank defect are developed using algebraic geometry codes, together with relations between tensor rank and parameters of associated Hamming-metric linear codes.
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Characterization of non-special divisors of small degree on Kummer extensions and LCP codes
An arithmetic criterion identifies non-special divisors of small degree in Kummer function fields and yields new LCP AG codes.