Proof of a Conjecture of Helleseth Regarding Pairs of Binary m-Sequences
Zhengbang Zha, XueLi Wang
TL;DR
This paper aimed to prove a conjecture by Helleseth about pairs of binary m-sequences but was withdrawn due to a significant error in the main theorem.
Contribution
The paper intended to resolve Helleseth's conjecture on binary m-sequences, contributing to sequence theory and cryptography.
Findings
The proof contained a crucial sign error in Theorem 11.
The paper was withdrawn and no valid results were published.
The conjecture remains unresolved due to the withdrawal.
Abstract
This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Finite Group Theory Research