On the Distance Distributions of BCH Codes and Their Duals |
| |
Authors: | Ilia Krasikov Simon Litsyn |
| |
Institution: | (1) School of Mathematical Sciences, Ramat-Aviv, Tel-Aviv University, 69978 Tel-Aviv, Israel;(2) Beit-Berl College, Kfar-Sava, Israel;(3) Department of Electrical Engineering–Systems, Ramat-Aviv, Tel-Aviv University, 69978 Tel-Aviv, Israel |
| |
Abstract: | Based on new bounds on the values of Krawtchoukpolynomials, we improve earlier known estimates forcomponents of the distance distributions of BCH codes and theirduals. Moreover, we show that if one uses estimates on Krawtchoukpolynomials for bounding the error term in the binomial approximationto the distance distribution of BCH codes, the given results are actuallythe best possible. One of the advantages of the proposed approach isthat it provides estimates with no restrictions on the minimumdistance of the code. |
| |
Keywords: | BCH codes duals of BCH codes Krawtchouk polynomials distance distribution |
本文献已被 SpringerLink 等数据库收录! |
|