| 亏格g=1的复数旋转码 |
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| 引用本文： | 张爱丽,靳蕃.亏格g=1的复数旋转码[J].西南交通大学学报,1999,34(1):55-60. |
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| 作者姓名： | 张爱丽 靳蕃 |
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| 作者单位： | 西南交通大学 |
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| 摘 要： | 提出了亏格ｇ＝１的复数旋转码ＧＩＣＲ的概念，利用多层环面完全嵌套的方法给出了ＧＩＣＲ码的直观模型。ＧＩＣＲ码是复数旋转码从二维空间到三维空间的推广。利用弱区组设计的概念讨论了该码的极小距离与纠错能力，同时研究了ＧＩＣＲ码的对偶码，给出了ＧＩＣＲ码及其对偶码的主要参数。
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| 关 键 词： | 区组设计 对偶码 复数旋转码 亏格 GICR码 |
Complex Rotary Codes of Genus g =1 |
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| Zhang Aili,Jin Fan,Liu Xiufeng.Complex Rotary Codes of Genus g =1[J].Journal of Southwest Jiaotong University,1999,34(1):55-60. |
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| Authors: | Zhang Aili Jin Fan Liu Xiufeng |
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| Abstract: | The concept of complex rotary codes of genus g =1 is proposed in this paper. By means of the complete embedding of multi layer ring surfaces, a visual model of GICR codes is given. The codes are the extension of complex rotary codes from 2 dimensional space to 3 dimensional space. By using the conception of the weak block design, the minimum distance and error correcting capability of the codes are discussed. Meanwhile, the dual codes of GICR codes are studied, and the main parameters of GICR codes and their dual codes are also presented. |
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| Keywords: | block design codes dual codes complex rotary codes |
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