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T-Wise Balanced Designs from Binary Hamming Codes

Year:    2011

Journal of Information and Computing Science, Vol. 6 (2011), Iss. 3 : pp. 173–176

Abstract

In  this  paper  we  show  that  the  binary  Hamming  codes $(2^r-1, 2^{2^r-r-1}-2, 3)$ satisfy $(2^r-r-2) -2^{2^r-r-1}-1, \{3,4,...,2^r-4\}, 1)$ designs, where $r\ge 3,$ a positive integer. For different values of $r$ most of the $t$-wise balanced designs obtained from our constructions appear to be new.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2024-JICS-22675

Journal of Information and Computing Science, Vol. 6 (2011), Iss. 3 : pp. 173–176

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    4

Keywords: