Generation of m‐sequences over GF(q2) from m‐sequences over GF(q)

John Joseph Komo, M.S. Lam · International Journal of Digital & Analog Communication Systems · 1992

Abstract A closed form solution that yields the component shift required for the vector representation of m‐sequences over GF(q2) in terms of m‐sequences over GF(q2) is presented. Iterative application of this expression then enables the vctor representation of m‐sequences over GF(q2m) in terms of m‐sequences over GF(q). These vector m‐seqeences can be used directly for the selection of frequencies in frequency hopped spread spectrum communication systems.

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