Trace representation of Legendre sequences of Mersenne prime period

Jong‐Seon No, Hwan-Keun Lee, Habong Chung, Hong‐Yeop Song, Kyeongcheol Yang · IEEE Transactions on Information Theory · 1996

In this correspondence, it is shown that Legendre sequences of period p can be explicitly represented using the trace function defined on the finite field with 2/sup n/ elements, whenever p=2/sup n/-1 is prime for some n/spl ges/3.

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