Bull. Korean Math. Soc. 2017; 54(4): 1095-1110
Online first article July 10, 2017 Printed July 31, 2017
https://doi.org/10.4134/BKMS.b150738
Copyright © The Korean Mathematical Society.
Xin Li and Zihui Liu
Beijing Institute of Technology, Beijing Institute of Technology
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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