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Direct constructions of additive codes

✍ Scribed by Jürgen Bierbrauer

Book ID
102307472
Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
117 KB
Volume
10
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

A code is q^m^‐ary q‐linear if its alphabet forms an m‐dimensional vector space over 𝔽~q~ and the code is linear over 𝔽~q~. These additive codes form a natural generalization of linear codes. Our main results are direct constructions of certain families of additive codes. These comprise the additive generalization of the Kasami codes, an additive generalization of the Bose‐Bush construction of orthogonal arrays of strength 2 as well as a class of additive codes which are being used for deep space communication. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 207–216, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.20000

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