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TWO-VARIABLE FUNCTION TO DESIGN INTERLEAVED SEQUENCES ON $\mathbb{F}_2$
Keywords:
m-sequence, interleaved sequence, two-variable function, graphDOI:
https://doi.org/10.17654/0974165822013Abstract
Let $s$ be an $m$-sequence of period $N$ and $m$ be such that $2 \leq m \leq N-1$. Let $f_m(x, y)=(m x+(m-1) y) \bmod m N$ be a two-variable function defined from $\mathbb{Z}_N \times \mathbb{Z}_{m+1}^*$ into $\mathbb{Z}_{m N}$. In this paper, providing some of the properties of the function $f_m$, use it to construct an interleaved sequence of period $m N$.
Received: November 1, 2021
Accepted: January 5, 2022
References
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