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Spectral Bounds for Quasi-Twisted Codes

Information Theory 2020-04-28 v1 math.IT

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.

Keywords

Cite

@article{arxiv.1906.04967,
  title  = {Spectral Bounds for Quasi-Twisted Codes},
  author = {Martianus Frederic Ezerman and San Ling and Buket Özkaya and Jareena Tharnnukhroh},
  journal= {arXiv preprint arXiv:1906.04967},
  year   = {2020}
}

Comments

Accepted ISIT 2019

R2 v1 2026-06-23T09:51:12.265Z