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大整数相乘的精确求解

Exact Solution of Multiplication of Large Integers

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【作者】 朱贵良李发明

【Author】 ZHU Gui-liang1,LI Fa-ming2(1.North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China;2.Yanshan University,Qinhuangdao 066004,China)

【机构】 华北水利水电学院燕山大学 河南郑州450011河北秦皇岛066004

【摘要】 为了解决大整数法运算相乘的难题,在传统叠加法和分治法的基础上,提出了分治叠加混合法.该算法把大整数分解成较小整数,再叠加运算较小整数,最后把运算结果组合为结果.它减少了较小整数过细分解与组合带来的时间开销,避免了大整数叠加运算与规模成级数增加的时间开销,提高了大整数乘法效率.对实现信息安全领域的密码算法具有重要价值.

【Abstract】 To resolve the multiplication of large integers,the combinative algorithm is put forward,on the basis of pen-and-pencil method and the divide-and-conquer method,It divides the large integers into smaller integers, then the smaller integers with pen-and-pencil method are calculated,lastly,the calculative results are combined into the desired product,It reduces the time expense on decomposing smaller integers and combining their product,and avoids the fleetly incremental expense on time that comes from the incremental digits of large integers,So,it enhances the efficiency of large integers multiplication and has vital applied value to encrypt information in security domain.

  • 【文献出处】 华北水利水电学院学报 ,Journal of North China Institute of Water Conservancy and Hydroelectric Power , 编辑部邮箱 ,2007年03期
  • 【分类号】TN918.1
  • 【被引频次】3
  • 【下载频次】171
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