CRAug 11, 2014

Trace representation of pseudorandom binary sequences derived from Euler quotients

arXiv:1408.2385v121 citations
Originality Synthesis-oriented
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This work addresses cryptographic sequence design for security applications, but it is incremental as it builds on existing Euler quotient sequences.

The paper tackled the problem of efficiently generating and analyzing cryptographic properties of binary sequences derived from Euler quotients by providing their trace representation and determining defining polynomials, resulting in a method to assess linear complexity.

We give the trace representation of a family of binary sequences derived from Euler quotients by determining the corresponding defining polynomials. Trace representation can help us producing the sequences efficiently and analyzing their cryptographic properties, such as linear complexity.

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