Title

The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs

Authors

W. Cary Huffman, Loyola University
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

9-1995

Abstract

All extremal binary self-dual [50,25,10] codes with an automorphism of order 7 are enumerated. Up to equivalence, there are four such codes, three with full automorphism group of order 21, and one code with full group of order 7. The minimum weight codewords yield quasi-symmetric 2-(49,9,6) designs.

Publisher's Statement

© Kluwer Academic Publishers 1995. Publisher’s version of record: https://doi.org/10.1007/BF01398008

Publication Title

Designs, Codes and Cryptography

Recommended Citation

Huffman, W. C., & Tonchev, V. (1995). The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs. Designs, Codes and Cryptography, 6(2), 97-106. http://doi.org/10.1007/BF01398008
Retrieved from: https://digitalcommons.mtu.edu/math-fp/160