| 面向三维信号的分组码 |
| |
| 引用本文： | 董学东,李园园,华正含,褚晓丽. 面向三维信号的分组码[J]. 辽宁师范大学学报(自然科学版), 2005, 28(1): 7-12 |
| |
| 作者姓名： | 董学东 李园园 华正含 褚晓丽 |
| |
| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029 |
| |
| 基金项目： | 国家自然科学基金资助项目(10171042) |
| |
| 摘 要： | 设Z[3√2]是代效效域Q（3√2）的代效整效环．把商环Z[3√2]／(2^Z)的乘法单位群分解为群的直积．由此获得三维信号空间并可用来构造分组码．这些码能够改正某些错误．
|
| 关 键 词： | 直积 商环 分组码 三维 乘法 分解 空间 信号 |
Block Codes for Coding Three Dimensional Signals |
| |
| DONG Xue-dong,LI Yuan-yuan,HUA Zheng-han,CHU Xiao-li. Block Codes for Coding Three Dimensional Signals[J]. Journal of Liaoning Normal University(Natural Science Edition), 2005, 28(1): 7-12 |
| |
| Authors: | DONG Xue-dong LI Yuan-yuan HUA Zheng-han CHU Xiao-li |
| |
| Abstract: | In this paper it is shown that the multiplicative group of units in the quotient ring Z[32]/(2~n) can be used to obtain a three dimensional signal space of 2~(3n-1) points and to design one error correcting codes, where Z[32] is the algebraic integer ring of the algebraic number field Q(32). The required modulo operation in this paper is simpler and the constructed block codes are able to correct one additive error. |
| |
| Keywords: | multiplicative group of units block codes three dimensional signal space |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
