New constructions of large binary sequences family with low correlation

Authors:
Xin Tong;Jie Zhang;Qiao-Yan Wen
Affiliations:
School of Science, Beijing University of Posts and Telecommunications, Beijing, China;School of Science, Beijing University of Posts and Telecommunications, Beijing, China;School of Science, Beijing University of Posts and Telecommunications, Beijing, China
Venue:
Inscrypt'06 Proceedings of the Second SKLOIS conference on Information Security and Cryptology
Year:
2006

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Abstract

A new family of binary sequences Se(ρ) (Ue(ρ)) of period 2n–1 is constructed for odd (even) n=me and an integer ρ with 1 ≤ ρm/2 ⌉. The new family Se(ρ) (or Ue(ρ)) contains Kim and No's construction as a subset if m-sequences are excluded from both constructions. Furthermore, the new sequences are proved to have low correlation property, large linear span and large family size.