Characterization of quaternary extremal codes of lengths 18 and 20

W.C. Huffman
1997 IEEE Transactions on Information Theory  
In summary, Table VI presents the highest possible minimum weight d n for an optimal self-dual code of length n 40, along with the reference for the first known code with this weight. No entry in the last column indicates the first code appears in this correspondence. REFERENCES [1] J. H. Conway and V. Pless, "Monomials of orders 7 and 11 cannot be in the group of a (24,12,10) self-dual quaternary code," IEEE Trans. Abstract-We derive a new upper bound on the minimum distance of doubly-even
more » ... -dual codes of length . Asymptotically, for growing, it gives lim sup (5 5 ) 10 0 165630, thus improving on the Mallows-Odlyzko-Sloane bound of 1 6 and our recent bound of 0 166315.
doi:10.1109/18.623160 fatcat:m3mcowal6jfctp2gfpqagjgb3m