6533b856fe1ef96bd12b268a

RESEARCH PRODUCT

A generalization of Sardinas and Patterson's algorithm to z-codes

Marina MadoniaSergio SalemiT. Sportelli

subject

CombinatoricsSardinas–Patterson algorithmGeneral Computer ScienceGeneralizationCode (cryptography)Extension (predicate logic)Finite setUpper and lower boundsAlgorithmComputer Science(all)Theoretical Computer ScienceMathematicsAutomaton

description

Abstract This paper concerns the framework of z-codes theory. The main contribution consists in an extension of the algorithm of Sardinas and Patterson for deciding whether a finite set of words X is a z-code. To improve the efficiency of this test we have found a tight upper bound on the length of the shortest words that might have a double z-factorization over X. Some remarks on the complexity of the algorithm are also given. Moreover, a slight modification of this algorithm allows us to compute the z-deciphering delay of X.

https://doi.org/10.1016/0304-3975(93)90193-w