| 引用本文: | 曾济宇.有限域上的多项式变换.[J].国防科技大学学报,1986,(2):59-67.[点击复制] |
| Zeng Jiyu.Polynomial Transform Over Finite Field[J].Journal of National University of Defense Technology,1986,(2):59-67[点击复制] |
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| 有限域上的多项式变换 |
| 曾济宇 |
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| 摘要: |
| 本文把1977年由 H.J. Nusshaumer 首先提出的多项式变换推广到一般有限域上，并对其结构进行了研究。本文给出了构成这种多项式变换的各种充分必要条件，指出了求变换的方法并证明了对某个模给定长度的变换数目是多少。该理论可望在编码理论和数字信号处理中得到应用。 |
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| 投稿日期：1985-09-03 |
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| Polynomial Transform Over Finite Field |
| Zeng Jiyu |
| Abstract: |
| Polynomial transform Over rational number field was first proposed by H.J. Nussbaumer in 1977. In this paper we introduce polynomial transform over finite field. This paper presents various necessary and sufficient conditions for causing such a transform and gives a method to obtain the transform. We have also found the number of polynomial transforms for a fixed transform module and fixed transform length. The theory is expected to be widely used in signal processing，encoding and decoding. |
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