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Minimum distances of three families of low-density parity-check codes based on finite geometries
  • ISSN号:1000-5854
  • 期刊名称:《河北师范大学学报:自然科学版》
  • 时间:0
  • 分类:O157.2[理学—数学;理学—基础数学] TQ423.114[化学工程]
  • 作者机构:[1]College of Huihua, Hebei Normal University, Hebei 050091, P. R. China, [2]College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China
  • 相关基金:Supported by the National Naturai Science Foundation of China (Grant No. 11471096).
中文摘要:

An LRHTS(v)(or LARHTS(v)) is a collection of {(X, B i) : 1 ≤ i ≤ 4(v-2)},where X is a v-set, each(X, B i) is a resolvable(or almost resolvable) HTS(v), and all B i s form a partition of all cycle triples and transitive triples on X. An OLRHTS(v)(or OLARHTS(v))is a collection {(Y \{y}, A j y) : y ∈ Y, j = 0, 1, 2, 3}, where Y is a(v + 1)-set, each(Y \{y}, A j y)is a resolvable(or almost resolvable) HTS(v), and all A j y s form a partition of all cycle and transitive triples on Y. In this paper, we establish some directed and recursive constructions for LRHTS(v), LARHTS(v), OLRHTS(v), OLARHTS(v) and give some new results.

英文摘要:

An LRHTS(v) (or LARHTS(v)) is a collection of {(X, Bi) : 1≤i ≤ 4(v - 2)}, where X is a v-set, each (X, Bi) is a resolvable (or almost resolvable) HTS(v), and all Bis form a partition of all cycle triples and transitive triples on X. An OLRHTS(v) (or OLARHTS(v)) is a collection {(Y/{y}, Ay^j) : y ∈ Y,j = 0, 1, 2, 3}, where Y is a (v + 1)-set, each (Y/{y}, Ay^j) is a resolvable (or almost resolvable) HTS(v), and all Ay^js form a partition of all cycle and transitive triples on Y. In this paper, we establish some directed and recursive constructions for LRHTS(v), LARHTS(v), OLRHTS(v), OLARHTS(v) and give some new results.

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期刊信息
  • 《河北师范大学学报:自然科学版》
  • 中国科技核心期刊
  • 主管单位:河北省教育厅
  • 主办单位:河北师范大学
  • 主编:蒋春澜
  • 地址:河北省石家庄市南二环东路20号
  • 邮编:050024
  • 邮箱:ziranb@mail.hebtu.edu.cn
  • 电话:0311-80786364
  • 国际标准刊号:ISSN:1000-5854
  • 国内统一刊号:ISSN:13-1061/N
  • 邮发代号:18-201
  • 获奖情况:
  • 全国优秀科技期刊,华北优秀科技期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘(网络版),美国数学评论(网络版),德国数学文摘,英国动物学记录,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)
  • 被引量:6209