✦ LIBER ✦

A general case of normal duality between binary nonlinear codes

✍ Scribed by Claude Carlet

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 474 KB
Volume: 111
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90143-h

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✦ Synopsis

Carlet, C., A general case of formal duality between binary nonlinear codes, Discrete Mathematics 111 (1993) 77-85.

We give a general context in which a binary code C admits at least one code whose weight enumerator is dual to that of C. We study two examples of applications of this general result, The first one is the formal duality between the Kerdock and the generalized Preparata codes of same length and the second one gives a new example of dual weight enumerators.