Monomials of orders 7 and 11 cannot be in the group of a (24, 12, 10) self-dual quaternary code (Corresp.)
- 1 January 1983
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 29 (1) , 137-140
- https://doi.org/10.1109/tit.1983.1056617
Abstract
It is an interesting open question whether a self-dual quaternary(24,12,10)codeCexists. It was shown by Conway and Pless that the only primes which can be orders of permutations in the group ofCare 11, 7, and 3. In this correspondence we eliminate 11 and 7 not only as permutations but also as orders of monomials in the group ofC. This is done by reducing the problems to the consideration of several codes and finding low weight vectors in these codes.Keywords
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