We present some combinatoric relations between two kinds of incidence structures like symmetric graphs and t-designs, and an algebraic structure as error-correcting-codes. Our goal is - using some fundamental properties of t-designs and graphs - to set some transformation to obtain or characterize families of codes. In the case of t-design we are interested in the quasisymmetric one, and in the case of the graph in the strongly-regular one.
机构:
South China Agr Univ, Coll Math & Informat, Guangzhou 510642, Guangdong, Peoples R ChinaSouth China Agr Univ, Coll Math & Informat, Guangzhou 510642, Guangdong, Peoples R China
Xiang, Can
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES,
2022,
14
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: 641
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652
机构:
Cent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China
Yang, Xu
Liu, Weijun
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Cent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China
Liu, Weijun
Liu, Henry
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Cent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China
Liu, Henry
Feng, Lihua
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Cent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China
机构:
China West Normal Univ, Sch Math & Informat, Nanchong 637002, Peoples R China
Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Hong Kong, Peoples R ChinaChina West Normal Univ, Sch Math & Informat, Nanchong 637002, Peoples R China
Tang, Chunming
Ding, Cunsheng
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Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Hong Kong, Peoples R ChinaChina West Normal Univ, Sch Math & Informat, Nanchong 637002, Peoples R China
Ding, Cunsheng
Xiong, Maosheng
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Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R ChinaChina West Normal Univ, Sch Math & Informat, Nanchong 637002, Peoples R China