The Design of Permutation Codes via a Specialized Maximum Clique Algorithm

Permutation codes have received considerable interest in recent years, motivated by some real-world applications. These applications take advantage of their robustness against transmission errors and noise. The problem addressed in this study is the construction of the largest possible permutation codes with a specified length and minimum Hamming distance. In this paper the problem is modelled in terms of maximum cliques and it is shown how a classic branch and bound method for maximum cliques can specialized for the design of permutation codes. This leads to a much faster technique. Experimental results support this claim.