Blind reconstruction of BCH codes based on candidate generator polynomial in random situation

Abstract A novel method for blind reconstruction of binary Bose–Chaudhuri–Hocquenghem codes is proposed. Compared to previously reported works, a new approach to find the goal generator polynomial is employed. First, using the feature that each codeword polynomial of a t‐error‐correcting Bose–Chaudh...

Full description

Saved in:
Bibliographic Details
Main Authors: Ali Sharifian Mazraeh Mollaei, Masoud Sharifian Mazraeh Mollaei
Format: Article
Language:English
Published: Wiley 2024-12-01
Series:Electronics Letters
Subjects:
Online Access:https://doi.org/10.1049/ell2.70109
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract A novel method for blind reconstruction of binary Bose–Chaudhuri–Hocquenghem codes is proposed. Compared to previously reported works, a new approach to find the goal generator polynomial is employed. First, using the feature that each codeword polynomial of a t‐error‐correcting Bose–Chaudhuri–Hocquenghem code has the same 2t consecutive roots over Galois field, a new set of candidate generator polynomials is introduced. Then, this set in a random situation to find the correct generator polynomial is investigated. Monte Carlo simulations demonstrate the superiority of the proposed reconstruction algorithm compared to the previous methods.
ISSN:0013-5194
1350-911X