In this note we construct pairs of orthogonal IA(q+hk,hk) where q is a prime power, k is a proper divisor of q-1 and h≤s+1 for a suitable integer s (depending on q). Further we construct triples of mutually orthogonal IA((3^u)+2h,2h) with h≤s+1 for a suitable integer s.
A construction of pairs and triples of k-incomplete orthogonal arrays / Pellegrino, Consolato; P., Lancellotti. - STAMPA. - 37:(1988), pp. 251-255. (Intervento presentato al convegno N/A tenutosi a N/A nel N/A) [10.1016/S0167-5060(08)70245-0].
A construction of pairs and triples of k-incomplete orthogonal arrays
PELLEGRINO, Consolato;
1988
Abstract
In this note we construct pairs of orthogonal IA(q+hk,hk) where q is a prime power, k is a proper divisor of q-1 and h≤s+1 for a suitable integer s (depending on q). Further we construct triples of mutually orthogonal IA((3^u)+2h,2h) with h≤s+1 for a suitable integer s.
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