A Class of Nonbinary Codes and Sequence Families
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Period-different m-sequences with at most four-valued cross correlation
IEEE Transactions on Information Theory
On the weight distribution of a class of cyclic codes
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Cyclic codes and sequences: the generalized Kasami case
IEEE Transactions on Information Theory
Generalized modified Gold sequences
Designs, Codes and Cryptography
A new family of quadriphase sequences with low correlation
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
The weight distribution of a class of p-ary cyclic codes
Finite Fields and Their Applications
New optimal low correlation sequences for wireless communications
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
A family of quadriphase sequences of period 4(2 n - 1) with low correlation and large linear span
Designs, Codes and Cryptography
| Hi-index | 754.96 |
In this correspondence, new binary sequence families Fk of period 2n-1 are constructed for even n and any k with gcd(k,n)=2 if n/2 is odd or gcd(k,n)=1 if n/2 is even. The distribution of their correlation values is completely determined. These families have maximum correlation 2n/2+1 and family size 23n/2 + 2n/2 for odd n/2 or 23n/2+2n/2-1 for even n/2. The proposed families include the large set of Kasami sequences, where the k is taken as k=n/2+1.