Optical orthogonal codes obtained from conies on finite projective planes

Nobuko Miyamoto; Hirobumi Mizuno; Satoshi Shinohara

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Optical orthogonal codes obtained from conies on finite projective planes

机译：从有限射影平面上的锥获得的光学正交码

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摘要

Optical orthogonal codes can be applied to fiber optical code division multiple access (CDMA) communications. In this paper, we show that optical orthogonal codes with auto-and cross-correlations at most 2 can be obtained from conies on a finite projective plane. In addition, the obtained codes asymptotically attain the upper bound on the number of codewords when the order q of the base field is large enough.

机译：可以将光正交码应用于光纤码分多址（CDMA）通信。在本文中，我们表明可以从有限投影平面上的圆锥获得最多具有2个自相关和互相关的光学正交码。另外，当基本字段的阶数q足够大时，所获得的代码渐近地达到码字数的上限。

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来源
《Finite fields and their applications》 |2004年第3期|p.405-411|共7页
作者
Nobuko Miyamoto; Hirobumi Mizuno; Satoshi Shinohara;
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作者单位

Department of Information Sciences, Tokyo University of Science, Noda, Chiba 278-8510, Japan;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
optical orthogonal codes; conies; finite projective plane;

机译：光学正交码;圆锥;有限投影平面;

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专利

1. On describing the incidence matrix of a finite projective plane via orthogonal latin squares and via a digraph complete set of latin squares [J] . Claude Levesque The Journal of Combinatorial Mathematics and Combinatorial Computing . 2008,第65期

机译：通过正交的拉丁方和有向图的拉丁方的完整集描述有限投影平面的入射矩阵
2. Conics and orthogonal projectivities in a finite plane [J] . W. L. Edge Canadian Journal of Mathematics . 1956,第1956期

机译：有限平面中的圆锥和正交投影
3. CONSTRUCTIONS OF OPTICAL ORTHOGONAL CODES FROM FINITE GEOMETRY [J] . T. L. ALDKRSON, KEITH E. MELLINGER SIAM Journal on Discrete Mathematics . 2007,第3期

机译：用有限几何构造正交正交码
4. Geometric approach for simultaneous projective reconstruction of points, lines, planes, quadrics, plane conies and degenerate quadrics [C] . Reyes, L., Bayro-Corrochano, . 2004

机译：同时投影重建点，线，平面，二次曲面，平面圆锥和退化二次曲面的几何方法
5. A trellis-coded CDMA system based on orthogonal plane sequence modulation. [D] . Choe, Sangho. 2001

机译：基于正交平面序列调制的网格编码CDMA系统。
6. Measurement of the total retinal blood flow using dual beam Fourier-domain Doppler optical coherence tomography with orthogonal detection planes [O] . Veronika Doblhoff-Dier, Leopold Schmetterer, Walthard Vilser, 2014

机译：使用具有正交检测平面的双光束傅里叶域多普勒光学相干断层扫描技术测量视网膜总血流
7. Optical orthogonal codes obtained from conics on finite projective planes [O] . Miyamoto Nobuko, Mizuno Hirobumi, Shinohara Satoshi 2004

机译：从圆锥投影在有限投影平面上获得的光学正交码
8. The application of a semi-orthogonal finite-integral technique to predict inclined-plane and cylindrical Couette flows [R] . R. F. LeFeuvre 1970

机译：半正交有限积分技术在倾斜平面和圆柱Couette流动预测中的应用

Optical orthogonal codes obtained from conies on finite projective planes

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