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2006-31

Self-dual doubly-even 2-quasi-cyclic transitive codes are asymptotically good

by Conchita Martínez-Pérez, Wolfgang Willems.


Series: 2006-31, Preprints

MSC:
94B05 Linear codes, general
94B15 Cyclic codes
94B65 Bounds on codes
20C20 Modular representations and characters
11B05 Density, gaps, topology

Abstract:
We prove that the class of binary self-dual doubly-even 2-quasi-cyclic transitive codes is asymptotically good. The proof is based on a result of Helmut Hasse on the density of primes which satisfy suitable conditions.

Keywords:
asymptotically good codes, doubly-even codes, self-dual-codes, transitive codes, 2-quasi-cyclic codes