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Volume 6, Issue 3
T-Wise Balanced Designs from Binary Hamming Codes

Manjusri Basu and Satya Bagchi

J. Info. Comput. Sci. , 6 (2011), pp. 173-176.

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  • 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.
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@Article{JICS-6-173, author = {Manjusri Basu and Satya Bagchi}, title = {T-Wise Balanced Designs from Binary Hamming Codes}, journal = {Journal of Information and Computing Science}, year = {2011}, volume = {6}, number = {3}, pages = {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.}, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22675.html} }
TY - JOUR T1 - T-Wise Balanced Designs from Binary Hamming Codes AU - Manjusri Basu and Satya Bagchi JO - Journal of Information and Computing Science VL - 3 SP - 173 EP - 176 PY - 2011 DA - 2011/09 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22675.html KW - AB - 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.
Manjusri Basu and Satya Bagchi. (2011). T-Wise Balanced Designs from Binary Hamming Codes. Journal of Information and Computing Science. 6 (3). 173-176. doi:
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