✦ LIBER ✦

Shadow Codes over Z4

✍ Scribed by Steven T. Dougherty; Masaaki Harada; Patrick Solé

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 371 KB
Volume: 7
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.2000.0312

No coin nor oath required. For personal study only.

✦ Synopsis

The notion of a shadow of a self-dual binary code is generalized to self-dual codes over 9

. A Gleason formula for the symmetrized weight enumerator of the shadow of a Type I code is derived. Congruence properties of the weights follow; this yields constructions of self-dual codes of larger lengths. Weight enumerators and the highest minimum Lee, Hamming, and Euclidean weights of Type I codes of length up to 24 are studied.

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