Good Self-dual Generalized Quasi-Cyclic Codes Exist
MinJia Shi, Yan Liu, Patrick Sol\'e
TL;DR
This paper demonstrates the existence of good long binary generalized quasi-cyclic self-dual codes, expanding the known classes of such codes with desirable properties.
Contribution
The paper proves the existence of good long binary generalized quasi-cyclic self-dual codes, a significant advancement in coding theory.
Findings
Existence of good long binary generalized quasi-cyclic self-dual codes
Applicable to both Type I and Type II codes
Expands the class of known self-dual codes
Abstract
We show that there are good long binary generalized quasi-cyclic self-dual (either Type I or Type II) codes.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · graph theory and CDMA systems