On the lifted Zetterberg code

The even-weight subcode of a binary Zetterberg code is a cyclic code with generator polynomial g ( x ) = ( x + 1 ) p ( x ) , where p ( x ) is the minimum polynomial over GF (2) of an element of order 2 m + 1 in G F ( 2 2 m ) and m is even. This even binary code has parameters [ 2 m + 1 , 2 m - 2 m ,...

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Bibliographic Details

Published in:	Designs, codes, and cryptography Vol. 80; no. 3; pp. 561 - 576
Main Authors:	Alahmadi, Adel, Alhazmi, Hussain, Helleseth, Tor, Hijazi, Rola, Muthana, Najat, Solé, Patrick
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2016
Subjects:	Circuits Coding and Information Theory Computer Science Cryptology Data Structures and Information Theory Discrete Mathematics in Computer Science Information and Communication 94B15 Zetterberg code 94B35 Codes over Cyclic codes
ISSN:	0925-1022, 1573-7586
Online Access:	Get full text
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