$m$-Sequences of Different Lengths with Four-Valued Cross Correlation

Details $m$-Sequences of Different Lengths with Four-Valued Cross Correlation $m$-Sequences of Different Lengths with Four-Valued Cross Correlation

2007-12-21

arxiv.org/abs/0712.3757v1

Computer Science

Discrete Mathematics

26 pages

Scientific paper

{\bf Abstract.} Considered is the distribution of the cross correlation
between $m$-sequences of length $2^m-1$, where $m$ is even, and $m$-sequences
of shorter length $2^{m/2}-1$. The infinite family of pairs of $m$-sequences
with four-valued cross correlation is constructed and the complete correlation
distribution of this family is determined.

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