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arXiv 1105.2291math.COcs.ITmath.IT
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周期为$2^{2^n}-1$的极大线性递归序列不具有三值互相关的Helleseth猜想的证明

Proof of a Conjecture of Helleseth: Maximal Linear Recursive Sequences of Period $2^{2^n}-1$ Never Have Three-Valued Cross-Correlation

Daniel J. Katz

摘要:

证明了Helleseth的一个猜想,即对任何$n \geq 0$,一对周期为$2^{2^n}-1$的二元极大线性序列不可能有三值互相关函数.

英文摘要:

We prove a conjecture of Helleseth that claims that for any $n \geq 0$, a pair of binary maximal linear sequences of period $2^{2^n}-1$ can not have a three-valued cross-correlation function.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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