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信息科学中若干组合构形研究
  • 项目名称：信息科学中若干组合构形研究
  • 项目类别：面上项目
  • 批准号：10771193
  • 申请代码：A011601
  • 项目来源：国家自然科学基金
  • 研究期限：2008-01-01-2010-12-31
  • 项目负责人：葛根年
  • 负责人职称：教授
  • 依托单位：浙江大学
  • 批准年度：2007
中文摘要：

本项目着重研究与编码密码学、计算机科学和生物信息学密切相关的几类组合构形的存在性问题，主要探讨最优跳频序列的自相关性、互相关性、最优序列的代数与组合构造；雷达阵列行列数比的上下界、组合学等价刻画、最优阵列的构造；比率为C的单向波分复用环网业务疏导；DNA数据库筛选中群试方法的设计，包括d-分离矩阵、格子区组设计、d-联贯探阳矩阵等问题。先后在《SIAM Journal on Discrete Mathematics》、《IEEE Transactions on Information Theory》等重要国际期刊上发表SCI论文31篇。项目主持人受聘教育部"长江学者奖励计划"特聘教授，入选"新世纪百千万人才工程"国家级人选、浙江省"新世纪151人才工程"第一层次培养人员，获"第十一届中国青年科技奖"、"浙江省高等学校科研成果奖一等奖"，被邀担任国际SCI检索源期刊Journal of Combinatorial Designs、国际期刊The Open Mathematics Journal、国际期刊International Journal of Combinatorics编委。

中文主题词： 最优跳频序列；雷达阵列；计算机网络业务疏导；DNA数据库筛选
结论摘要：

英文主题词Optimal Frequency Hopping Sequences； Radar Arrays； Traffic Grooming in Unidirectional WDM Rings； DNA Library Screening

成果综合统计
成果类型
数量
  • 期刊论文
  • 会议论文
  • 专利
  • 获奖
  • 著作
  • 31
  • 0
  • 0
  • 0
  • 0
期刊论文
MONOTONIC DIRECTED DESIGNS
Maximal Resolvable Packings and Minimal Resolvable Coverings of Triples by Quadruples
Existence of resolvable H-designs with group sizes 2, 3, 4 and 6
Perfect Difference Families, Perfect Difference Matrices, and Related Combinatorial Structures
H-designs with the properties of resolvability or (1,2)-resolvability
Optimal Ternary Constant-Weight Codes of Weight Four and Distance Six
Combinatorial constructions of fault-tolerant routings with levelled minimum optical indices
Existence of directed triplewhist tournaments with the three person property 3P DT Wh(v)
Frame self-orthogonal Mendelsohn triple systems of type h(n)
Group divisible codes and their application in the construction of optimal constant-composition code
Super-simple Holey Steiner pentagon systems and related designs
Resolvable balanced incomplete block designs with subdesigns of block size 4
Construction of optimal ternary constant weight codes via Bhaskar Rao designs
A Systematic Construction for Radar Arrays
Mandatory representation designs MRD(4, k; v) with k equivalent to 2 mod 3
MINIMIZING SONET ADMs IN UNIDIRECTIONAL WDM RINGS WITH GROOMING RATIO SEVEN
Optimal Frequency Hopping Sequences: Auto- and Cross-Correlation Properties
The existence of generalized mix functions
Further results on (v, {5, w*}, 1)-PBDs
On the Existence of （v, 3 × 3,λ）-Splitting Balanced Incomplete Block Design with A between 2 to 9
（v,3×4,1）-分裂平衡不完全区组设计的存在性
Graph designs for the eight-edge five-vertex graphs
Ordered Tournaments and Ordered Triplewhist Tournaments with the Three Person Property
ON BLOCK SEQUENCES OF STEINER QUADRUPLE SYSTEMS WITH ERROR CORRECTING CONSECUTIVE UNIONS
Resolvable group divisible designs with block size four and general index
Optical grooming with grooming ratio eight
THE EXISTENCE OF r x 4 GRID-BLOCK DESIGNS WITH r=3, 4
SPECTRUM OF SIZES FOR PERFECT DELETION-CORRECTING CODES
On uniformly resolvable designs with block sizes 3 and 4
Mixed group divisible designs with three groups and block size 4
葛根年的项目
通信理论中若干组合编码问题研究
期刊论文 36 获奖 2
组合设计理论及其应用
期刊论文 30
可分组设计及其相关课题研究
期刊论文 28