New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Multiplicative characters, the weil bound, and polyphase sequence families with low correlation
IEEE Transactions on Information Theory
Generalized modified Gold sequences
Designs, Codes and Cryptography
New constructions of large binary sequences family with low correlation
Inscrypt'06 Proceedings of the Second SKLOIS conference on Information Security and Cryptology
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For odd n=2l+1 and an integer ρ with 1≤ρ≤l, a new family So(ρ) of binary sequences of period 2n-1 is constructed. For a given ρ, So(ρ) has maximum correlation 1+2n+2ρ-12/, family size 2nρ, and maximum linear span n(n+1)/2. Similarly, a new family of Se(ρ) of binary sequences of period 2n-1 is also presented for even n=2l and an integer ρ with 1≤ρn2+ρ/,2nρ, and n(n+1)/2, respectively. The new family So(ρ) (or Se(ρ)) contains Boztas and Kumar's construction (or Udaya's) as a subset if m-sequences are excluded from both constructions. As a good candidate with low correlation and large family size, the family So(2) is discussed in detail by analyzing its distribution of correlation values.