Title :
The Construction of Binary Matrices with Distinct Submatrices
Author :
Banerji, Ranan B.
Author_Institution :
Department of Computer and Information Sciences, Temple University
Abstract :
Using certain basic facts about finite fields and their use in the construction of linear shift registers of maximal period, a method has been described for the construction of arrays such that if one looks at different parts of the array through a fixed size "window," each configuration seen is distinct. The method has been exemplified in the case where the elements of the array are binary digits.
Keywords :
Finite fields; linear shift registers; polynomials; ranging; Area measurement; Galois fields; Polynomials; Position measurement; Shift registers; Finite fields; linear shift registers; polynomials; ranging;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1978.1675050