Spectral Bounds for Quasi-Twisted Codes

Published 12 Jun 2019 in cs.IT and math.IT | (1906.04967v1)

Abstract: New lower bounds on the minimum distance of quasi-twisted codes over finite fields are proposed. They are based on spectral analysis and eigenvalues of polynomial matrices. They generalize the Semenov-Trifonov and Zeh-Ling bounds in a manner similar to how the Roos and shift bounds extend the BCH and HT bounds for cyclic codes.

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