摘要
提出了一种新的d=7大码距Hamilton阵列编码构造方法,分析了d=7大码距Hamilton阵列编码的存在规律和模型设计,以及限维情形下不同构造模型的相互关系。给出了维数n=9,码距d=7时的Hamilton阵列编码设计实例,并讨论了相关的组合密码特性。该方法简捷直观,容易构造,这对高维大码距Hamilton阵列编码研究和具体密码应用有实际意义。
In the study of array codes, different array codes have different applications in their respective codes and cipher systems. A new construction method is presented. The existence rule and model design of Hamilton array code for d = 7 big Hamming distance are studied, and the relation of different constitution models under limited-dimension conditions are analyzed. A design example of Hamilton array code for Hn=9 (d = 7) is given and the property of the related combination cipher is given. The proposed construction method is simple and easy to realize, and its results have a practical value to the research of Hamilton array code for high-dimension big Hamming distance and the cipher application.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2005年第2期328-330,384,共4页
Systems Engineering and Electronics
基金
国家自然科学基金(60172017)
福建省自然科学基金(A0210012)
福建省教育厅基金(JB03022)资助课题