Results 1 to 10 of about 650 (234)
ACM Transactions on Mathematical Software, 2011 A Costas array is an arrangement of N dots on an N -by- N grid, one per row, one per column, such that no two dots share the same displacement vector with any other pair.
Scott Rickard, Konstantinos Drakakis
exaly +3 more sources
On the symmetry of Welch- and Golomb-constructed Costas arrays
Discrete Mathematics, 2009 We prove that Welch Costas arrays are in general not symmetric and that there exist two special families of symmetric Golomb Costas arrays: one is the well-known Lempel family, while the other, although less well known, leads actually to the construction
Rod Gow
exaly +4 more sources
2006 40th Annual Conference on Information Sciences and Systems, 2006 Using all available Costas arrays up to and including order 26, and data mining techniques, we investigate how the Costas property and the balance of signs in the difference triangle of a permutation are related. Our conclusion is that there is sufficient evidence to believe that the mechanism responsible for the formation of Costas arrays changes from
Konstantinos Drakakis
exaly +4 more sources
Results of the enumeration of Costas arrays of order 29
Advances in Mathematics of Communications, 2011 The results of the enumeration of Costas arrays of order 29 are presented: except for 16 arrays out of a total 164, all other arrays found are accounted for by the Golomb and Welch construction methods.
Konstantinos Drakakis +2 more
exaly +5 more sources
APN permutations on Zn and Costas arrays
Discrete Applied Mathematics, 2009 We study PN and APN functions over the integers modulo n. We give some construction techniques based on Costas arrays, which allow us to construct APN permutations on Zp−1 where p is a prime.
Rod Gow, Gary Mcguire
exaly +3 more sources
A review of Costas arrays [PDF]
Journal of Applied Mathematics, 2006 Costas arrays are not only useful in radar engineering, but they also present many interesting, and still open, mathematical problems. This work collects in it all important knowledge about them available today: some history of the subjects, density ...
Drakakis, Konstantinos +1 more
core +6 more sources
, 2022 Costas arrays are constructed similarly to the n-queens problem, an n-by-n grid has one point in every column. Any displacement vector from any two points on the Costas array must be unique.
Emils Matiss (12029837)
core +2 more sources
Contributions to the theory of Costas arrays [PDF]
, 2023 This thesis aims to study Costas arrays from different points of view. A Costas array of size n is an n × n binary matrix such that no two of the (n/2) line segments connecting 1s have the same length and slope.
Ardalani, Ali
core +3 more sources
Multidimensional Costas Arrays and Their Periodicity
IEEE Transactions on Information Theory, 2023 A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous definitions. Some non-existence results are presented for multidimensional Costas arrays preserving the Costas condition when the array is extended periodically throughout the whole space.
Ivelisse M Rubio
exaly +3 more sources
On the number of Costas arrays as a function of array size [PDF]
Proceedings of the IEEE, 1988 A conjecture that the number of Costas arrays is a monotonic increasing function of array size is disproved by extension of the known values to n=17. A probabilistic estimation formula is developed which predicts the peak at n=16 and tracks the known values to (typically) 5-6%. >
Silverman, J. +2 more
exaly +2 more sources