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JOURNALS // Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii" // Archive

Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2021 Issue 1, Pages 87–101 (Mi ulsu42)

On decoding algorithms of cyclic codes

S. M. Ratseev, A. M. Ivantsov, P. A. Buldakovsky

Ulyanovsk State University, Ulyanovsk, Russia

Abstract: Cyclic codes are widely used in noise-resistant coding. These codes are used to detect and/or correct errors. Among the cyclic codes, Reed-Solomon codes stand out. This article considers some simple decoding algorithms for cyclic codes and Reed–Solomon codes.

Keywords: cyclic codes, code decoding, Reed–Solomon codes.

UDC: 519.725

Received: 18.04.2021
Revised: 18.04.2021
Accepted: 31.05.2021



© Steklov Math. Inst. of RAS, 2024