Synthesis and uniqueness of m-sequences over GF(qn) asn-phase sequences over GF(q) |
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| Authors: | Guang Gong Guo Zheng Xiao |
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| Affiliation: | Dept. of Appl. Math., Univ. of Electron. Sci. & Technol. of China, Chengdu; |
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| Abstract: | The construction of m-sequences over GF(qn) from known m-sequences over GF(q) is discussed. An algorithm is given which generates m-sequences over GF(qn) from m-sequences over GF(q), where n phase shifts of known m-sequences over GF(q) are determined by the iterative polynomials. It is shown that n shift distinct m-sequences over GF(qn) generated by the same m-sequences over GF(q) are unique when the elements of GF(qn) are represented by n-tuples of the elements from GF(q) |
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