| 关于一般环上的DFT和CRT |
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| 引用本文： | 韩清.关于一般环上的DFT和CRT[J].四川大学学报(自然科学版),1993,31(1):7-11. |
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| 作者姓名： | 韩清 |
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| 作者单位： | 四川大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 给出了一般交换环上DFT、CRT存在的充分必要条件,定出了一般有限环上2阶DFT的个数,构造性地证明了4阶和素数阶DFT与具有循环卷积性质的可逆变换(CRT)的共生性.
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| 关 键 词： | 交换环 有限环 DFT CRT |
ON THE DFT AND CRT OVER ARBITRAY RINGS |
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| Han Qing.ON THE DFT AND CRT OVER ARBITRAY RINGS[J].Journal of Sichuan University (Natural Science Edition),1993,31(1):7-11. |
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| Authors: | Han Qing |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, the author gives sufficient and necessary conditions of the existence of the DFT and CRT over arbitrary commutative rings and the number of DFT of 2 order over any finite ring. Finally, the author proves constructively the coexistence of the DFT and CRT of 4 order and prime order. |
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| Keywords: | commulative ring finite ring discrete fourier transform (DFT) the reversible transform having cyclic convolution property (CRT) coexistence |
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