Information Theory and Coding Theory

Weight Spectra of Some Classes of Cyclic Codes over $GF(q)$

V. I. Tairyan


Abstract: Weight spectra and code distances are determined for three classes of cyclic codes over $GF(q)$. The corresponding formulas depend only on the degrees and periods of the irreducible polynomials over $GF(q)$ that appear in the expansion of the check polynomial of the code.

UDC: 621.391.15

Received: 24.01.1976
Revised: 08.02.1978

 English version: Problems of Information Transmission, 1978, 14:3, 181–185

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