Two dual families of nonlinear binary codes
- 14 November 1974
- journal article
- Published by Institution of Engineering and Technology (IET) in Electronics Letters
- Vol. 10 (23) , 471-472
- https://doi.org/10.1049/el:19740375
Abstract
A description is given of two new infinite families of nonlinear binary codes. For all block lengths n = 22m, m ≥ 3, two nonlinear binary codes are defined, which are called dual as their distance distributions satisfy the MacWilliams identities. The first code has minimum distance 8 and has four times as many codewords as the corresponding extended BCH code. In the other code, there are only six distinct nonzero values for the distances between codewords.Keywords
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