Constructions of augmented orthogonal arrays
Copyright policy )Constructions of augmented orthogonal arrays
AbstractAugmented orthogonal arrays (AOAs) were introduced by Stinson, who showed the equivalence between ideal ramp schemes and AOAs (Discrete Math. 341 (2018), 299–307). In this paper, we show that there is an AOAif and only if there is an OAwhich can be partitioned intosubarrays, each being an OA, and that there is a linear AOAif and only if there is a linear maximum distance separable (MDS) code of lengthand dimensionover, which contains a linear MDS subcode of lengthand dimensionover. Some constructions for AOAs and some new infinite classes of AOAs are also given.
- Suzhou Vocational University China (People's Republic of)
- Soochow University China (People's Republic of)
orthogonal array, FOS: Mathematics, Mathematics - Combinatorics, augmented orthogonal array, ideal ramp scheme, Orthogonal arrays, Latin squares, Room squares, Combinatorics (math.CO)
orthogonal array, FOS: Mathematics, Mathematics - Combinatorics, augmented orthogonal array, ideal ramp scheme, Orthogonal arrays, Latin squares, Room squares, Combinatorics (math.CO)
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