Extremal binary self-dual codes
- 1 November 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 43 (6) , 2036-2047
- https://doi.org/10.1109/18.641574
Abstract
In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d=14 and 16 are constructed. In particular, the first extremal Type I [86,43,16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40,50,52 and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100.Keywords
This publication has 40 references indexed in Scilit:
- Classification of extremal double-circulant self-dual codes of length up to 62Discrete Mathematics, 1998
- The covering radius of extremal self-dual code D11 and its applicationIEEE Transactions on Information Theory, 1997
- The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designsDesigns, Codes and Cryptography, 1995
- New extremal doubly-even [64, 32, 12] codesDesigns, Codes and Cryptography, 1995
- A coding theoretic approach to extending designsDiscrete Mathematics, 1995
- Singly-even self-dual codes and Hadamard matricesPublished by Springer Nature ,1995
- On designs and formally self-dual codesDesigns, Codes and Cryptography, 1994
- Extremal doubly-even codes of length 64 derived from symmetric designsDiscrete Mathematics, 1990
- A method for constructing inequivalent self-dual codes with applications to length 56IEEE Transactions on Information Theory, 1987
- Automorphisms of codes with applications to extremal doubly even codes of length 48IEEE Transactions on Information Theory, 1982