Direct constructions of additive codes
Document Type
Article
Publication Date
5-16-2002
Department
Department of Mathematical Sciences
Abstract
A code is qm-ary q-linear if its alphabet forms an m-dimensional vector space over q and the code is linear over 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.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Bierbrauer, J.
(2002).
Direct constructions of additive codes.
Journal of Combinatorial Designs,
10(4), 207-216.
http://doi.org/10.1002/jcd.20000
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3709
Publisher's Statement
© 2002 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.20000