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- W2018796452 abstract "In this article, we first show that a group divisible 3-design with block sizes from {4, 6}, index unity and group-type 2m exists for every integer m≥ 4 with the exception of m = 5. Such group divisible 3-designs play an important role in our subsequent complete solution to the existence problem for directed H-designs DHλ(m, r, 4, 3)s. We also consider a way to construct optimal codes capable of correcting one deletion or insertion using the directed H-designs. In this way, the optimal single-deletion/insertion-correcting codes of length 4 can be constructed for all even alphabet sizes. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 136–146, 2009" @default.
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- W2018796452 date "2009-03-01" @default.
- W2018796452 modified "2023-09-25" @default.
- W2018796452 title "A class of group divisible 3-designs and their applications" @default.
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- W2018796452 doi "https://doi.org/10.1002/jcd.20182" @default.
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