A generalization of bounds for cyclic codes, including the HT and BS bounds

Matteo Piva; Massimiliano Sala

doi:10.1007/978-3-642-40663-8_11

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arXiv · 1306.4849

A generalization of bounds for cyclic codes, including the HT and BS bounds

Matteo Piva·Massimiliano Sala

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Abstract

We use the algebraic structure of cyclic codes and some properties of the discrete Fourier transform to give a reformulation of several classical bounds for the distance of cyclic codes, by extending techniques of linear algebra. We propose a bound, whose computational complexity is polynomial bounded, which is a generalization of the Hartmann-Tzeng bound and the Betti-Sala bound. In the majority of computed cases, our bound is the tightest among all known polynomial-time bounds, including the Roos bound.

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Matteo Piva, Massimiliano Sala. 2013-06-20. A generalization of bounds for cyclic codes, including the HT and BS bounds. https://doi.org/10.1007/978-3-642-40663-8_11

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