Coding Theory

Synthesis of Single-Error-Correcting $AN$-Codes

V. M. Gritsenko


Abstract: The theory of power residues is employed for synthesizing arithmetic $AN$-codes to the base $r>2$ that can correct an arbitrary error in one position. A procedure is given for synthesizing simple and composite generators $A$ with specified properties.

UDC: 621.391.15:519.14

Received: 18.12.1974
Revised: 23.05.1975

 English version: Problems of Information Transmission, 1976, 12:3, 172–176

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