We survey a number of topics and constructions of combinatorial arrays based on finite fields. These combinatorial objects include orthogonal arrays, covering arrays, ordered orthogonal arrays, permutation arrays, frequency permutation arrays, hypercubes and Costas arrays.

Additional Metadata
Keywords Costas arrays, Covering array, Frequency permutation array, Hypercubes, Orthogonal array, Permutation array
Persistent URL dx.doi.org/10.1007/s10623-015-0152-9
Journal Designs, Codes and Cryptography
Citation
Moura, L. (Lucia), Mullen, G.L. (Gary L.), & Panario, D. (2016). Finite field constructions of combinatorial arrays. Designs, Codes and Cryptography, 78(1), 197–219. doi:10.1007/s10623-015-0152-9