Codes with the Same Weight Distributions as the Goethals Codes and the Delsarte-Goethals Codes
Designs, Codes and Cryptography
On the Aperiodic Correlation Function of Galois Ring m-Sequences
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
An Assmus–Mattson-Type Approach for Identifying 3-Designs from Linear Codes over Z4
Designs, Codes and Cryptography
Quaternary Codes and Biphase Sequences from \mathbb{Z}_8-Codes
Problems of Information Transmission
On Cosets of Weight 4 of Binary BCH Codes with Minimum Distance 8 and Exponential Sums
Problems of Information Transmission
On Partial Correlations of Various Z4 Sequence Families
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New optimal quadriphase sequences with larger linear span
IEEE Transactions on Information Theory
New M-ary sequence families with low correlation and large size
IEEE Transactions on Information Theory
Quaternary constant-amplitude codes for multicode CDMA
IEEE Transactions on Information Theory
Z4-valued quadratic forms and quaternary sequence families
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Low correlation zone sequences
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Z4-Nonlinearity of a constructed quaternary cryptographic functions class
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Multiplicative characters, the weil bound, and polyphase sequence families with low correlation
IEEE Transactions on Information Theory
A new family of quadriphase sequences with low correlation
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
| Hi-index | 755.20 |
A family of quaternary (Z4-alphabet) sequences of length L=2r-1, size M⩾L2+3L+2, and maximum nontrivial correlation parameter Cmax⩽2√(L+1)+1 is presented. The sequence family always contains the four-phase family 𝒜. When r is odd, it includes the family of binary Gold sequences. The sequence family is easily generated using two shift registers, one binary, the other quaternary. The distribution of correlation values is provided. The construction can be extended to produce a chain of sequence families, with each family in the chain containing the preceding family. This gives the design flexibility with respect to the number of intermittent users that can be supported, in a code-division multiple-access cellular radio system. When r is odd, the sequence families in the chain correspond to shortened Z4-linear versions of the Delsarte-Goethals codes