A New Characterization of Semi-bent and Bent Functions on Finite Fields*
Designs, Codes and Cryptography
Four Families of Binary Sequences with Low Correlation and Large Linear Complexity
Information Security and Cryptology
New Family of Binary Sequences with Low Correlation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New Families of Binary Low Correlation Zone Sequences Based on Interleaved Quadratic Form Sequences
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New optimal quadriphase sequences with larger linear span
IEEE Transactions on Information Theory
Two new families of optimal binary sequences obtained from quaternary sequences
IEEE Transactions on Information Theory
A new family of gold-like sequences
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
Low correlation zone sequences
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
A new class of bent and hyper-bent Boolean functions in polynomial forms
Designs, Codes and Cryptography
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
Quadriphase sequences obtained from binary quadratic form sequences
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
| Hi-index | 754.96 |
For a positive integer, n, new families, S and U, of binary sequences of period 2n-1 with low correlations are proposed, where for some positive integer, e, S is defined for odd n/e and U for even n/e. The family S has four-valued correlations and is a generalization of the family of Gold-like sequences introduced by S. Boztas and P.V. Kumar (see ibid., vol.40, p.532-7, 1994). The family U, which is also a generalization of the sequence family defined by P. Udaya ("Polyphase and frequency hopping sequences obtained from finite rings", Ph.D. dissertation, Dept. Elec. Eng., Indian Inst. Technol., Kanpur, 1992), has six-valued correlations. The relationship between Gold-like sequences and Gold sequences is the same as the relationship between the family S and the family constructed from the binary sequences partially contributed by R. Gold (see ibid., vol.IT-14, p.154-6, 1968), T. Kasami (see Coordinated Sci. Lab., Univ. of Illinois,Urbana-Champaign, Tech. Rep. R-285, AD 632574, 1966), and Welch. Using a lifting idea (No, J.-S. and Kumar, P.V., ibid., vol.35, p.371-9, 1989) for the families S and U, families of binary sequences with the same correlation distributions and large linear span are also constructed.