T. Helleseth

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cs.CR2024

Further Investigation on Differential Properties of the Generalized Ness-Helleseth Function

Yongbo Xia, Chunlei Li, Furong Bao +2

Let $n$ be an odd positive integer, $p$ be a prime with $p \equiv 3 (mod 4)$ , $d_{1} = \frac{p ^{n} - 1}{2} - 1$ and $d_{2} = p^{n} - 2$ . The function defined by $f_u(x)=ux^{d_{1}}+x^{d_{…

cs.CR2024

An updated review on cross-correlation of m-sequences

Tor Helleseth, Chunlei Li

Maximum-length sequences (m-sequences for short) over finite fields are generated by linear feedback shift registers with primitive characteristic polynomials. These sequences have…