A new construction for Z-cyclic whist tournaments
Discrete Applied Mathematics
Constructions of difference covering arrays
Journal of Combinatorial Theory Series A
Cyclic Difference Packing and Covering Arrays
Designs, Codes and Cryptography
Further combinatorial constructions for optimal frequency-hopping sequences
Journal of Combinatorial Theory Series A - Special issue in honor of Jacobus H. van Lint
Designs, Codes and Cryptography
Bounds and constructions of optimal (n, 4, 2, 1) optical orthogonal codes
IEEE Transactions on Information Theory
New upper bound for (m, k, λ)-IRSs with λ ≥ 2
IEEE Transactions on Information Theory
On constructions for optimal two-dimensional optical orthogonal codes
Designs, Codes and Cryptography
Research over correlation properties of families optical orthogonal codes
CompSysTech '09 Proceedings of the International Conference on Computer Systems and Technologies and Workshop for PhD Students in Computing
Combinatorial constructions for optimal two-dimensional optical orthogonal codes
IEEE Transactions on Information Theory
Two-dimensional optical orthogonal codes and semicyclic group divisible designs
IEEE Transactions on Information Theory
Optimal variable-weight optical orthogonal codes via difference packings
IEEE Transactions on Information Theory
New optimal variable-weight optical orthogonal codes
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
SETA'06 Proceedings of the 4th international conference on Sequences and Their Applications
Two classes of optimal two-dimensional OOCs
Designs, Codes and Cryptography
Semicyclic 4-GDDs and related two-dimensional optical orthogonal codes
Designs, Codes and Cryptography
Some 20-regular CDP(5,1;20u) and their applications
Finite Fields and Their Applications
New optimal optical orthogonal codes by restrictions to subgroups
Finite Fields and Their Applications
Combinatorial constructions for optimal 2-D optical orthogonal codes with AM-OPPTS property
Designs, Codes and Cryptography
| Hi-index | 755.14 |
Four direct constructions, three of which are by way of skew starters, are given in this correspondence for optimal (υ, 4, 1) optical orthogonal codes (OOC's). These improve the known existence results concerning optimal (υ, 4, 1)-OOCs. In particular, it is shown that an optimal (υ, 4, 1)-OOC exists for all positive integers υ≡6 (mod 12) or υ≡24 (mod 48). It is also shown that an optimal (12υ, 4, 1)-OOC exists for any positive integer υ whose prime factors are all congruent to 1 modulo 4