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
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
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
Cryptography and Communications
Constructing Constant Composition Codes via Distance-Increasing Mappings
SIAM Journal on Discrete Mathematics
Hi-index | 754.84 |
Mappings from the set of binary vectors of a fixed length to the set of permutations of the same length that strictly increase Hamming distances except when that is obviously not possible are useful for the construction of permutation codes. In this correspondence, we propose recursive and explicit constructions of such mappings. Some comparisons show that the new mappings have better distance expansion distributions than other known distance-preserving mappings (DPMs). We also give some examples to illustrate the applications of these mappings to permutation arrays (PAs)