Title :
Canonical m-sequences and dual basis generation
Author :
Komo, John J. ; Reid, William J., III
Author_Institution :
Dept. of Electr. & Comput. Eng., Clemson Univ., SC, USA
fDate :
27 Jun-1 Jul 1994
Abstract :
An expression for the shift necessary to obtain a canonical m-sequence is obtained in terms of the coefficients of the primitive polynomial that generates this m-sequence. This is also directly related to the shift to obtain the location of the span `100...0´ in the m-sequence. In addition it is shown how to recursively obtain the dual basis elements of the basis expressing GF(qm) over GF(q)
Keywords :
Galois fields; binary sequences; polynomials; Galois field; binary sequence; canonical m-sequences; coefficients; dual basis generation; primitive polynomial; shift; Feedback; Galois fields; Out of order; Polynomials;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.394653
