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A table of upper bounds for binary codes

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3 Author(s)
E. Agrell ; Dept. of Signals & Syst., Chalmers Univ. of Technol., Goteborg, Sweden ; A. Vardy ; K. Zeger

Let A(n, d) denote the maximum possible number of codewords in an (n, d) binary code. We establish four new bounds on A(n, d), namely, A(21, 4)⩽43689, A(22, 4)⩽87378, A(22, 6)⩽6941, and A(23, 4)⩽173491. Furthermore, using previous upper bounds on the size of constant-weight binary codes, we reapply known methods to generate a table of bounds on A(n, d) for all n⩽28. This table extends the range of parameters compared with previously known tables

Published in:

IEEE Transactions on Information Theory  (Volume:47 ,  Issue: 7 )