The paper considers the interrelation between i-components of an arbitrary Preparata-like code P and i-components of a perfect code C containing P. It is shown that each i-component of P can uniquely be completed to an i-component of C by adding a certain number of special codewords of C. It is shown that the set of vertices of P in a characteristic graph of an arbitrary i-component of C forms a perfect code with distance 3.
Problems of Information Transmission – Springer Journals
Published: Dec 16, 2004
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