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Some Bounds on the Size of Codes
Journal article   Peer reviewed

Some Bounds on the Size of Codes

Emanuele Bellini, Eleonora Guerrini and Massimiliano Sala
IEEE Transactions on Information Theory, Vol.60(3), pp.1475-1480
03/2014

Abstract

systematic code linear code Hamming distance Upper bound Non-linear code
We present one upper bound on the size of non-linear codes and its restriction to systematic codes and linear codes. This bound is independent of other known theoretical bounds, e.g. the Griesmer bound, the Johnson bound or the Plotkin bound, and it is an improvement of a bound by Litsyn and Laihonen. Our experiments show that in some cases (the majority of cases for some q) our bounds provide the best value, compared to all other theoretical bounds.
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