مرکز منطقه ای اطلاع رساني علوم و فناوري - A Geometric Construction of a <formula formulatype="inline"> <img src="/images/tex/974.gif" alt="[110,5,90]_{9}"> </formula>-Linear Code Admitting the Mathieu Group <formula formulatype="inline"> <img src="/images/tex/975.gif" alt="M

DocumentCode :

3559049

Title :

A Geometric Construction of a $[110,5,90]_{9}$ -Linear Code Admitting the Mathieu Group $M_{11}$

Author :

Cossidente, Antonio ; Sonnino, Angelo

Author_Institution :

Dept. of Math. & Comput. Sci., Basilicata Univ., Potenza

Volume :

Issue :

fYear :

2008

Firstpage :

5251

Lastpage :

5252

Abstract :

We give a geometric construction of a [110,5,90]₉-linear code admitting the Mathieu group M ₁₁ as a subgroup of its automorphism group.

Keywords :

geometric codes; linear codes; Mathieu group; automorphism group; geometric construction; linear code; Binary codes; Error correction codes; Galois fields; Hamming distance; Hamming weight; Linear code; Orbits; Vectors; Automorphism group; Golay code; Mathieu group; cap-code; finite projective space;

fLanguage :

English

Journal_Title :

Information Theory, IEEE Transactions on

Publisher :

ieee

ISSN :

0018-9448

Type :

jour

DOI :

10.1109/TIT.2008.929966

Filename :

4655443

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3559049