Relationships between m-sequences over GF(q) andGF(qm) |
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| Authors: | Park WJ Jr Komo JJ |
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| Affiliation: | Sch. of Eng., Univ. of the Pacific, Stockton, CA ; |
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| Abstract: | It is shown that m-sequences over GF(qm ) of length qnm-1 corresponding to primitive polynomials in GFqm,x] of degree n can be generated from known m-sequences over GF(q) of length qnm-1 obtained from primitive polynomials in GFq,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 GFq,m,x] can be obtained from a complete set of the primitive polynomials in GFq ,x] |
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