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Construction of nested balanced block designs, rectangular designs andq-ary codes

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Abstract

Construction of nested balanced incomplete block (BIB) designs, nested balanced ternary designs and rectangular designs from given nested BIB designs and resolvable BIB designs are described. New constructions ofq-ary codes from nested BIB designs and balanced bipartite weighing designs are also given.

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Sinha, K., Mitra, R.K. Construction of nested balanced block designs, rectangular designs andq-ary codes. Annals of Combinatorics 3, 71–80 (1999). https://doi.org/10.1007/BF01609877

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