循环码的完全重量分布（英文）
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摘要
利用指数和的值分布给出循环码的完全重量分布的一般计算方法,并利用该方法确定两类循环码的完全重量分布.
A general strategy is proposed to compute the complete weight enumerator of cyclic codes via the value distribution of the corresponding exponential sums.As applications,the complete weight enumerators of two classes of cyclic codes are determined.
A general strategy is proposed to compute the complete weight enumerator of cyclic codes via the value distribution of the corresponding exponential sums.As applications,the complete weight enumerators of two classes of cyclic codes are determined.
引文
[1]Blake I F,Kith K.On the complete weight enumerator of Reed-Solomon codes[J].SIAM J Discrete Math,1991,4(2):164.
[2]Ding Cunsheng.Optimal constant composition codes from zero-difference balanced functions[J].IEEE Trans Inf Theory,2008,54(12):5766.
[3]Ding Cunsheng,Yin Jianxing.A construction of optimal constant composition codes[J].Des Codes Cryptogr,2006,40(2):157.
[4]Li Chengju,Yue Qin,Fu Fangwei.Complete weight enumerators of some cyclic codes[J].Des Codes Cryptogr,2016,80(2):295.
[5]Delsarte P.On subfield subcodes of modified Reed-Solomon codes[J].IEEE Trans Inf Theory,1975,21(5):575.
[6]Luo Jinquan,Feng Keqin.On the weight distributions of two classes of cyclic codes[J].IEEE Trans Inf Theory,2008,54(12):5332.
[7]Coulter R S.Explicit evaluations of some Weil sums[J].Acta Arith,1998,83(3):241.
[8]Lidl R,Niederreiter H.Finite fields[M].2nd ed.Cambridge:Cambridge University Press,1997.
[9]Yang Shudi,Yao Zheng'an,Zhao Chang'an.The weight distributions of two classes of p-ary cyclic codes with few weights[J].Finite Fields Appl,2017,44:76.
[2]Ding Cunsheng.Optimal constant composition codes from zero-difference balanced functions[J].IEEE Trans Inf Theory,2008,54(12):5766.
[3]Ding Cunsheng,Yin Jianxing.A construction of optimal constant composition codes[J].Des Codes Cryptogr,2006,40(2):157.
[4]Li Chengju,Yue Qin,Fu Fangwei.Complete weight enumerators of some cyclic codes[J].Des Codes Cryptogr,2016,80(2):295.
[5]Delsarte P.On subfield subcodes of modified Reed-Solomon codes[J].IEEE Trans Inf Theory,1975,21(5):575.
[6]Luo Jinquan,Feng Keqin.On the weight distributions of two classes of cyclic codes[J].IEEE Trans Inf Theory,2008,54(12):5332.
[7]Coulter R S.Explicit evaluations of some Weil sums[J].Acta Arith,1998,83(3):241.
[8]Lidl R,Niederreiter H.Finite fields[M].2nd ed.Cambridge:Cambridge University Press,1997.
[9]Yang Shudi,Yao Zheng'an,Zhao Chang'an.The weight distributions of two classes of p-ary cyclic codes with few weights[J].Finite Fields Appl,2017,44:76.