T-Wise Balanced Designs from Binary Hamming Codes
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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 = {2024},
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 = {1746-7659},
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 - 2024
DA - 2024/01
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. (2024). T-Wise Balanced Designs from Binary Hamming Codes.
Journal of Information and Computing Science. 6 (3).
173-176.
doi:
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