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Issue No.12 - December (1978 vol.27)
pp: 1192-1195
Farhad Hemmati , Department of Electrical Engineering, Illinois Institute of Technology
ABSTRACT
Using the Euclidean Algorithm for polynomials over GF(q), an algebraic technique for the generation of q-ary shift register sequences of arbitrary length l, 1 ≤ l ≤ qm, is obtained, where q is a power of a prime number, q = pn, and m is the number of shift register stages.
INDEX TERMS
shift register sequence, Euclidean Algorithm, Hamming weight, maximal length cycle,
CITATION
Farhad Hemmati, Daniel J. Costello, "An algebraic construction for q-ary shift register sequences", IEEE Transactions on Computers, vol.27, no. 12, pp. 1192-1195, December 1978, doi:10.1109/TC.1978.1675025
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