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最优冲突回避码的具体构造
  • ISSN号：1000-2243
  • 期刊名称：《福州大学学报：自然科学版》
  • 时间：0
  • 分类：O157.4[理学—数学;理学—基础数学]
  • 作者机构：[1]百色学院数学与统计学院,广西百色533000, [2]福州大学离散数学与理论计算机科学研究中心,福建福州350002
  • 相关基金：国家自然科学基金资助项目（61170308）; 广西省自然科学基金资助项目（2013GXNSFAA019022）; 广西省高校科研项目（2013YB246）; 百色学院科研基金资助项目（2012KB01）
作者： 黄必昌[1,2], 朱文兴[2]
关键词： 冲突回避码, 码重, 二次剩余, 分圆类, conflict-avoiding code, code weight, quadratic residue, cyclotomic class
中文摘要：

冲突回避码被应用于多分址冲突信道中,目前对最优冲突回避码的具体构造取得的结果大多是码重k=3,4,5,6,7的情况,对码重k〉7具体构造结果比较少.为此,利用已有的构造方法结合数论相关知识,进一步构造码重k=8,9,10,11,12,码长n=（k-1）p时的最优冲突回避码新结果.

英文摘要：

Conflict- avoiding code was applied in multiple- access in the collision channel. Previously,researchers investigate explicit constructions of optimal conflict- avoiding code in the case of k = 3,4,5,6,7. And there is very few results in the case of k 7. In this paper,combing pre-existing constructions with the related knowledge of number theory,a new infinite classes of optimal conflict- avoiding codes with weight k = 8,9,10,11,12 and length n =（ k- 1） p are obtained.

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期刊信息
  • 《福州大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:福州大学
  • 主办单位:福州大学
  • 主编：杨黄浩
  • 地址：福建省福州市大学新区学园路2号
  • 邮编：350116
  • 邮箱：xb@fzu.edu.cn
  • 电话：0591-22865030 22865031
  • 国际标准刊号：ISSN：1000-2243
  • 国内统一刊号：ISSN：35-1117/N
  • 邮发代号:34-27
  • 获奖情况:
  • 全国高校优秀自然科学学报,华东地区优秀期刊,福建省优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:8994