Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

The $t$-wise intersection of relative three-weight codes

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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