Abstract
Several new constructions for difference matrices are given. One class of constructions uses pairwise balanced designs to develop new difference matrices over the additive group of GF(q). A second class of constructions gives difference matrices over groups whose orders are not (necessarily) prime powers.
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Communicated by: D. Jungnickel
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Colbourn, C.J., Kreher, D.L. Concerning difference matrices. Des Codes Crypt 9, 61–70 (1996). https://doi.org/10.1007/BF00169774
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DOI: https://doi.org/10.1007/BF00169774
Keywords
- Difference matrices
- pairwise balanced designs
- orthogonal arrays