13 papers
Multi-View Block Distance Distributions and Linear Programming Bounds for Locally Recoverable Codes with Availability
Ming-Hsuan Kang, Maosheng Xiong, Yu Hsuan Hsieh +1
We develop a multi-view linear-programming framework for locally recoverable codes with arbitrary fixed availability . For any retained order , the selected helpe…
Linear Programming Bounds for Locally Recovery Codes II
Ming-Hsuan Kang, Maosheng Xiong
We give a polynomial-size linear programming bound for -ary all-symbol locally recoverable codes with locality parameters , without assuming linearity. The key idea is to…
Linear programming bounds for binary and ternary LCD Codes
Ming-Hsuan Kang, Maosheng Xiong
We derive linear programming (LP) bounds on the minimum distance of binary and ternary linear complementary dual (LCD) codes by imposing arithmetic constraints on their weight enum…
The Cross-Correlation Distribution of the Niho-Type Decimation
Maosheng Xiong, Haode Yan
The cross-correlation problem is a classical problem in sequence design. In this paper, we determine the cross-correlation distribution of the Niho-type decimation o…
Asymptotic Bounds on Generalized Covering Radii of Binary Primitive BCH Codes
Maosheng Xiong, Chi Hoi Yip, Ferdinando Zullo
Fix integers and . In this paper we study the -th generalized covering radius of the binary primitive -error-correcting BCH code $BC…
The generalized covering radii of Melas codes
Shuxing Li, Maosheng Xiong
The generalized covering radii have recently emerged as fundamental parameters of linear codes with applications to database linear querying. In this paper, we study the generalize…