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cs.IT2022
Infinite families of cyclic and negacyclic codes supporting 3-designs
Xiaoqiang Wang, Chunming Tang, Cunsheng Ding
Interplay between coding theory and combinatorial -designs has been a hot topic for many years for combinatorialists and coding theorists. Some infinite families of cyclic codes…
cs.IT2016★ 11 cited
Complementary Dual Algebraic Geometry Codes
Sihem Mesnager, Chunming Tang, Yanfeng Qi
Linear complementary dual (LCD) codes is a class of linear codes introduced by Massey in 1964. LCD codes have been extensively studied in literature recently. In addition to their…
cs.IT2016
Quasi-Perfect Lee Codes from Quadratic Curves over Finite Fields
Sihem Mesnager, Chunming Tang, Yanfeng Qi
Golomb and Welch conjectured in 1970 that there only exist perfect Lee codes for radius or dimension . It is admitted that the existence and the construction of quasi…