Сorrespondence

The Correlation Between the Properties of a Binary Group Code and Those of its Null Space

V. I. Korzhik


Abstract: A new proof is given of a theorem on the linear dependence of the distribution of the weights of a code and of its null space. The connection is determined between the number of blocks of any length belonging to the code and some properties of its null space. A structural property of cyclic codes is found as a corollary.

UDC: 621.391.1:51

Received: 18.03.1965

 English version: Problems of Information Transmission, 1966, 2:1, 70–74

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