Learn More
The concept of the combinatorial matrix of an unrestricted code and the notion of anr-partition design admitted by a code are introduced and discussed in detail. The theory includes a characterization of completely regular codes, and a combinatorial interpretation of the fact that the distinct rows of the distance distribution matrix of a code are linearly(More)
We extend the notions of correlation-immune functions and resilient functions to functions over any finite alphabet. A previous result due to Gopalakrishnan and Stinson is generalized as we give an orthogonal array characterization, a Fourier transform and a matrix characterization for correlation-immune and resilient functions over any finite alphabet(More)
We extend the notions of correlation-immune functions and resilient functions to functions over any nite alphabet endowed with the structure of an Abelian group. Thus we generalize the results of Gopalakrishnan and Stinson as we give an orthogonal array characterization and a Fourier transform characterization for resilient functions over any nite alphabet.(More)
Various algorithms connected with the computation of the minimal polynomial of a square n×n matrix over a field k are presented here. The complexity of the first algorithm, where the complete factorization of the characteristic polynomial is needed, is O(√ nn 3). It produces the minimal polynomial and all characteristic subspaces of a matrix of size n.(More)