Trace Representation of r-Ary Sequences Derived from Euler Quotients Modulo 2p

We introduce the r-ary sequence with period 2p2 derived from Euler quotients modulo 2p (p is an odd prime) where r is an odd prime divisor of (p-1). Then based on the cyclotomic theory and the theory of trace function in finite fields, we give the trace representation of the proposed sequence by det...

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Veröffentlicht in:	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2021/12/01, Vol.E104.A(12), pp.1698-1703
Hauptverfasser:	MOHAMMED, Rayan, DU, Xiaoni, JIN, Wengang, SUN, Yanzhong
Format:	Artikel
Sprache:	eng
Schlagworte:	defining polynomial Euler quotients Fields (mathematics) Numbers Polynomials Pseudorandom Quotients r-ary sequences Representations trace representation
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