一类有向成对平衡设计的存在性及应用

A kind of directed pairwise balanced designs and the application

下载PDF

导出

摘要研究了若干无穷类的最大的有向成对平衡设计的存在性.作为应用,这些有向成对平衡设计被用于构造一类最优的删位/插位纠错码. The goal of this paper is to study the existence of several infinite families of maximum directed pairwise balanced designs.As an application,these directed pairwise balanced designs are used to construct a kind of optimal deletion/insertion-correcting codes.

作者柳曦徐俊娅陆春寅王健敏

机构地区苏州大学数学科学学院

出处《苏州大学学报（自然科学版）》 CAS 2011年第4期18-21,25,共5页 Journal of Soochow University(Natural Science Edition)

基金苏州大学大学生创新性实验计划立项项目(57315445)

关键词有向成对平衡设计删位/插位纠错码最优 directed pairwise balanced designs deletion/insertion-correcting codes optimal

分类号 O157.2 [理学—基础数学]

引文网络
相关文献

参考文献8

1Colbourn C J, Dinitz J H. The CRC Handbook of Combinatorial Designs [ M ]. 2nd ed. Boca Raton, FL: Chapman and Hall/ CRC,2006.
2Seberry J, Skillicorn D. All directed BIBDs with k = 3 exist [ J ]. Journal of Combinatorial Theory A, 1980,29 (2) :244 -248.
3Ding W, Wang J. Directed Pairwise Balanced Designs with block size from subsets of (3,4,--, 10) which contain 3 [ J]. Discrete Mathematics Algorithms and Applications,2009,1 (4) :519-529.
4Fuji-Hara R, Miao Y,Wang J,et al. Directed B(K, 1;v) with K = {4,5} and K = 14,6/ related to deletion/insertion-correcting codes [ J ]. Journal of Combinatorial Designs, 2001,9 ( 2 ) : 147 - 156.
5Wang J, Yin L. A class of group divisible designs with block size three and index λ [ J ]. Australasian Journal of Combinatorics, 2010,46:51 - 66.
6Colbourn C J, Harms J J. Directing triple systems [ J ]. Ars Combinatoria, 1983,15:261 -266.
7Levenshtein V I. On perfect codes in deletion and insertion metric [ J ]. Discrete Mathematics and Applications, 1992,2 (3) :241 - 258.
8Bours P A H. On the construction o perfect deletion-correcting codes using design theory [ J ]. Designs Codes and Crytograpgy, 1995,6:5 - 20.

1柏雪,王小苗.λ-重C_4+e-设计到λ-重P_5-设计的变形[J].大学数学,2017,33(1):40-45.
2蒲利群,柴艳玲.长为{4,5,6}的完备删位纠错码的存在性[J].中山大学学报（自然科学版）,2013,52(6):133-135.
3刘海波,廖群英.混合长度为{4,5,6}的完备删位纠错码的存在性[J].数学学报（中文版）,2015,58(6):977-984.
4覃红.混水平均匀设计的构造[J].应用数学学报,2005,28(4):704-712. 被引量：5
5殷剑兴.(v,6,3)-PMDs的存在性(英文)[J].应用数学,1993,6(4):457-462.
6苏国强,刘红娟,王立冬.一个六点九边图的图设计[J].纯粹数学与应用数学,2011,27(2):143-147. 被引量：1
7袁兰党,康庆德.一个6点8边图的图设计[J].河北师范大学学报（自然科学版）,2008,32(2):141-145. 被引量：2

苏州大学学报（自然科学版）

2011年第4期

浏览历史

内容加载中请稍等...

一类有向成对平衡设计的存在性及应用

参考文献8

相关作者

相关机构

相关主题

浏览历史