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Relationships between m-sequences over GF(q) and GF(qm)

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2 Author(s)
Park, W.J., Jr. ; Sch. of Eng., Univ. of the Pacific, Stockton, CA, USA ; Komo, J.J.

It is shown that m-sequences over GF(qm ) of length qnm-1 corresponding to primitive polynomials in GF[qm,x] of degree n can be generated from known m-sequences over GF(q) of length qnm-1 obtained from primitive polynomials in GF[q,x] of degree mn. A procedure for generating the m-sequences over GF(q2) from m-sequences over GF(q) was given which enables the generation of m-sequences over GF( p2n). In addition it was shown that all of the primitive polynomials in GF[q,m,x] can be obtained from a complete set of the primitive polynomials in GF[q ,x]

Published in:

Information Theory, IEEE Transactions on  (Volume:35 ,  Issue: 1 )

Date of Publication:

Jan 1989

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