The $t$-wise intersection of relative three-weight codes
Bull. Korean Math. Soc. 2017 Vol. 54, No. 4, 1095-1110
https://doi.org/10.4134/BKMS.b150738
Published online July 31, 2017
Xin Li and Zihui Liu
Beijing Institute of Technology, Beijing Institute of Technology
Abstract : The $t$-wise intersection is a useful property of a linear code due to its many applications. Recently, the second author determined the $t$-wise intersection of a relative two-weight code. By using this result and generalizing the finite projective geometry method, we will present the $t$-wise intersection of a relative three-weight code and its applications in this paper.
Keywords : relative three-weight code, $t$-wise intersecting, relative two-weight code, constant-weight code, projective subspace, value assignment
MSC numbers : 94B05
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