Spectral Bounds for Quasi-Twisted Codes

Martianus Frederic Ezerman, San Ling, Buket Özkaya, Jareena Tharnnukhroh

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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