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Cotardo, Giuseppe
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Cotardo, Giuseppe
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Cotardo, Giuseppe
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- PublicationRank-Metric Codes, Generalized Binomial Moments and their Zeta Functions(2020-11-01)
; ; In this paper we introduce a new class of extremal codes, namely the i-BMD codes. We show that for this family several of the invariants are determined by the parameters of the underlying code. We refine and extend the notion of an i-MRD code and show that the i-BMD codes form a proper subclass of the i-MRD codes. Using the class of i-BMD codes we then obtain a relation between the generalized rank weight enumerator and its corresponding generalized zeta function. We also establish a MacWilliams identity for generalized rank weight distributions.Scopus© Citations 6 130