On the constructions of constant-composition codes from perfect nonlinear functions
Date of Issue2009
School of Physical and Mathematical Sciences
A new construction of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself is presented, which provides a kind of unified constructions of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself. It is proved that the new constant-composition codes are optimal with respect to the Luo-Fu-Vinck-Chen bound, when m is an odd positive integer greater than 1. Finally, we point out that two constructions of constant-composition codes, proposed by Ding Cunsheng et al. in 2005, are equivalent to two special types of the new constant-composition codes.
Science in China series F: information sciences
© 2009 Science in China Press and Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Science in China Series F: Information Sciences, Science in China Press and Springer. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s11432-009-0110-0].