Constructions of Constant Composition Codes from Partitioned Difference Families

被引：0
|
作者：
Yan, Jie [1 ]
Wang, Chengmin [1 ]
Zhou, Lingtao [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
来源：
2010 INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT (CCCM2010), VOL IV | 2010年
关键词：
Constant composition codes; partitioned difference family; construction; STEINER; 2-DESIGNS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Constant composition codes (CCCs), a generalization of constant weight binary codes, have attracted lots of interests due to their numerous applications. A partitioned difference family (PDF) was first introduced by Ding and Yin and used to construct optimal constant composition codes (CCCs). In this paper, we develop a close link between PDFs and 1-rotational resolvable balanced incomplete designs (RBIBDs). With this link, a great bulk of PDFs are derived from the known 1-rotational RBIBDs in design theory. Then we obtain a lot of optimal constant composition codes.
引用
收藏
页码：702 / 704
页数：3
相关论文
共 50 条
  • [21] Hadamard partitioned difference families and their descendants
    Marco Buratti
    Cryptography and Communications, 2019, 11 : 557 - 562
  • [22] Constructions of almost difference families
    Ding, Cunsheng
    Yin, Jianxing
    DISCRETE MATHEMATICS, 2008, 308 (21) : 4941 - 4954
  • [23] Hadamard partitioned difference families and their descendants
    Buratti, Marco
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 557 - 562
  • [24] Cyclotomic Constructions of External Difference Families and Disjoint Difference Families
    Huang, B.
    Wu, D.
    JOURNAL OF COMBINATORIAL DESIGNS, 2009, 17 (04) : 333 - 341
  • [25] Two Classes of Optimal Constant Composition Codes from Zero Difference Balanced Functions
    Liu, Bing
    Li, Xia
    Cheng, Feng
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2017, E100A (10): : 2183 - 2186
  • [26] CONSTRUCTIONS OF SEVERAL FAMILIES OF MDS CODES AND NMDS CODES
    Yin, Yanan
    Yan, Haode
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2024,
  • [27] Constructions of cyclic constant dimension codes
    Bocong Chen
    Hongwei Liu
    Designs, Codes and Cryptography, 2018, 86 : 1267 - 1279
  • [28] Constructions of cyclic constant dimension codes
    Chen, Bocong
    Liu, Hongwei
    DESIGNS CODES AND CRYPTOGRAPHY, 2018, 86 (06) : 1267 - 1279
  • [29] On the constructions of constant-weight codes
    Fu, FW
    Vinck, AJH
    Shen, SY
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (01) : 328 - 333
  • [30] Partitioned difference families and harmonious linear spaces
    Buratti, Marco
    Jungnickel, Dieter
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 92
12345