New Algorithms of Distance-Increasing Mappings from Binary Vectors to Permutations by Swaps
Designs, Codes and Cryptography
On the Construction of Permutation Arrays via Mappings from Binary Vectors to Permutations
Designs, Codes and Cryptography
Discrete Applied Mathematics
New simple constructions of distance-increasing mappings from binary vectors to permutations
Information Processing Letters
Distance-increasing mappings from binary vectors to constant composition vectors
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Decoding frequency permutation arrays under infinite norm
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
A k-cube graph construction for mappings from binary vectors to permutations
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Discrete Applied Mathematics
Decoding frequency permutation arrays under Chebyshev distance
IEEE Transactions on Information Theory
Cryptography and Communications
Decoding permutation arrays with ternary vectors
Designs, Codes and Cryptography
Constructing Constant Composition Codes via Distance-Increasing Mappings
SIAM Journal on Discrete Mathematics
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Mappings of the set of binary vectors of a fixed length to the set of permutations of the same length are useful for the construction of permutation codes. In this article, several explicit constructions of such mappings preserving or increasing the Hamming distance are given. Some applications are given to illustrate the usefulness of the construction. In particular, a new lower bound on the maximal size of permutation arrays (PAs) is given.