Bounds on the size and asymptotic rate of subblock-constrained codes

A Tandon, HM Kiah, M Motani - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The study of subblock-constrained codes has recently gained attention due to their
application in diverse fields. We present bounds on the size and asymptotic rate for two …

Constructions of optimal and near-optimal multiply constant-weight codes

YM Chee, HM Kiah, H Zhang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Multiply constant-weight codes (MCWCs) have been recently studied to improve the
reliability of certain physically unclonable function response. In this paper, we give …

Decompositions of edge-colored digraphs: A new technique in the construction of constant-weight codes and related families

YM Chee, F Gao, HM Kiah, AC Hung Ling… - SIAM Journal on Discrete …, 2019 - SIAM
We demonstrate that certain Johnson-type bounds are asymptotically exact for a variety of
classes of codes, namely, constant-composition codes, nonbinary constant-weight codes …

Constructions of optimal multiply constant-weight codes MCWC

L Pan, RJR Abel, J Wang - Advances in Mathematics of …, 2022 - aimsciences.org
A binary code C of length n=∑ mi= 1 ni and minimum distance d is said to be of multiply
constant-weight and denoted by MCWC (w1, n1; w2, n2;...; wm, nm; d), if each codeword has …

广义Howell 设计GHD (n+ 5, 3n) 的存在性

姚金洋, 胡颖, 王金华 - 《 广西师范大学学报》(自然科学版), 2021 - gxsf.magtech.com.cn
广义Howell 设计是一类双可分解设计, 与置换表, 多层常重码有密切联系.
本文利用可迁和不可迁starter-adder 直接构造方法和广义Howell 标架递推工具 …

The asymptotic existence of frames with a pair of orthogonal frame resolutions

C Wang, Y Chang, T Feng - Science China Mathematics, 2019 - Springer
Motivated by the applications to generalized Howell designs and multiply constant-weight
codes, we establish an asymptotic existence theorem for (k, λ)-frames of type gn with a pair …

Optimal multiply constant-weight codes from generalized Howell designs

C Wang, Y Chang, T Feng - Graphs and Combinatorics, 2019 - Springer
Constructions for optimal multiply constant-weight codes (MCWCs) with total weight 5 and
distance 8 are studied. The equivalence between a special class of MCWCs and …

Bounds on the asymptotic rate of binary constant subblock-composition codes

A Tandon, HM Kiah, M Motani - 2017 IEEE International …, 2017 - ieeexplore.ieee.org
The study of binary constant subblock-composition codes (CSCCs) has recently gained
attention due to their application in diverse fields. These codes are a class of constrained …

Erdös--Falconer Distance Problem under Hamming Metric in Vector Spaces over Finite Fields

Z Xu, G Ge - SIAM Journal on Discrete Mathematics, 2020 - SIAM
For a subset I⊆F_q^n, let Δ(I) be the set of distances determined by the elements of I. The
Erdös--Falconer distance problem in F_q^n asks for a threshold on the cardinality |I| so that …

[HTML][HTML] Improved linear programming bound on sizes of doubly constant-weight codes

PT Toan, HK Kim, J Kim - Finite Fields and their Applications, 2018 - Elsevier
In this paper we give new constraints on the distance distribution of doubly constant-weight
(binary) codes. These constraints improve the linear programming bound on sizes of doubly …