Application of some known methods of code construction (such as the Vasil'ev, Plotkin, and Mollard methods) to transitive codes satisfying certain auxiliary conditions yields infinite classes of large-length transitive codes, in particular, at least ⌊k/2⌋2 nonequivalent perfect transitive codes of length n = 2 k − 1, k > 4. A similar result is valid for extended perfect transitive codes.
Problems of Information Transmission – Springer Journals
Published: Oct 17, 2005
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