New extremal self-dual doubly-even binary codes of length 88

Vanere Goodwin, Fayetteville State University
Vassil Yorgov, Fayetteville State University

Abstract

The known structure of the automorphism group of the extended binary quadratic-residue code of length 80 is used for the construction of 36 new extremal doubly-even codes of length 88. All these codes have an automorphism of order five with eight fixed points and are inequivalent to the previously known 34 codes. © 2004 Elsevier Inc. All rights reserved.