IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Information Theory and Its Applications
Algebraic Group Structure of the Random Number Generator: Theoretical Analysis of NTU Sequence(s)
Yuta KODERAMd. Arshad ALITakeru MIYAZAKITakuya KUSAKAYasuyuki NOGAMISatoshi UEHARARobert H. MORELOS-ZARAGOZA
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2019 Volume E102.A Issue 12 Pages 1659-1667

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Abstract

An algebraic group is an essential mathematical structure for current communication systems and information security technologies. Further, as a widely used technology underlying such systems, pseudorandom number generators have become an indispensable part of their construction. This paper focuses on a theoretical analysis for a series of pseudorandom sequences generated by a trace function and the Legendre symbol over an odd characteristic field. As a consequence, the authors give a theoretical proof that ensures a set of subsequences forms a group with a specific binary operation.

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© 2019 The Institute of Electronics, Information and Communication Engineers
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