On the Automorphisms of Order 2 with Fixed Points for the Extremal Self-Dual Codes of Length 24m

Authors:
Stefka Bouyuklieva
Affiliations:
Department of Mediamatics, Faculty of Information Technology and Systems, Delft University of Technology, P.O. Box 5031, 2600GA Delft, The Netherlandslpmivt@vt.bia-bg.com
Venue:
Designs, Codes and Cryptography
Year:
2002

Citing 3
Cited 1

Designs and their codes

Designs and their codes
Handbook of Coding Theory

Handbook of Coding Theory
A method for constructing self-dual codes with an automorphism of order 2

IEEE Transactions on Information Theory

On the classification and enumeration of self-dual codes

Finite Fields and Their Applications

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Abstract

It is shown that an extremal self-dual code of length 24m may have an automorphism of order 2 with fixed points only for m=1, 3, {\rm or} 5. We prove that no self-dual [72, 36, 16] code has such an automorphism in its automorphism group.