Error-Correcting Codes over an Alphabet of Four Elements |
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| Authors: | Galina T Bogdanova Andries E Brouwer Stoian N Kapralov Patric R J Östergård |
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| Institution: | (1) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, P.O. Box 323, 5000 V. Tarnovo, Bulgaria;(2) Department of Mathematics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;(3) Department of Mathematics, Technical University, 5300 Gabrovo, Bulgaria;(4) Department of Computer Science and Engineering, Helsinki University of Technology, P.O. Box 5400, 02015 HUT, Finland |
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| Abstract: | The problem of finding the values of Aq(n,d)—the maximum size of a code of length n and minimum distance d over an alphabet of q elements—is considered. Upper and lower bounds on A4(n,d) are presented and some values of this function are settled. A table of best known bounds on A4(n,d) is given for n  12. When q M < 2q, all parameters for which Aq(n,d) = M are determined. |
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| Keywords: | bounds on codes designs error-correcting codes nonlinear codes quaternary codes |
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