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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1973 Volume 9, Issue 4, Pages 17–28 (Mi ppi918)

Coding Theory

Arithmetic Burst-Error-Correcting Codes

V. M. Gritsenko


Abstract: Methods are discussed for the synthesis of arithmetic codes detecting and correcting specified burst error configurations. The reciprocity laws for power residues in circular algebraic fields are used to construct the codes. Examples are given in the synthesis of binary and ternary code generators.

UDC: 621.391.15

Received: 30.05.1972


 English version:
Problems of Information Transmission, 1973, 9:4, 282–291

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© Steklov Math. Inst. of RAS, 2026