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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1993 Volume 29, Issue 3, Pages 10–20 (Mi ppi184)

This article is cited in 2 papers

Coding Theory

Codes Correcting Errors in the Modulus Metric, Lee Metric, and Operator Errors

V. A. Davydov


Abstract: We suggest a code construction method that yields codes correcting $t$ errors in the modulus metric with asymptotically minimum redundancy. We introduce a concept of metric homomorphism and prove the homomorphism of the transposition metric to the Lee metric and the modulus metric. New code families for the mentioned metrics are constructed.

UDC: 621.391.15

Received: 16.12.1992
Revised: 31.03.1993


 English version:
Problems of Information Transmission, 1993, 29:3, 209–217

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© Steklov Math. Inst. of RAS, 2026