维吉尼亚密码解密
程序员文章站
2022-07-08 20:23:32
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利用重合法根据密文串找到**长度,找到**从而找到**,我也不知道自己理解的对不对,仅供参考
https://wenku.baidu.com/view/8f9d144deef9aef8941ea76e58fafab069dc44a7.html 这个网址是有关维吉尼亚密码的和重合指数法解密的基本知识
import java.util.Scanner;
/*
* 利用重合指数法解密,划分子串,计算每个子串与C=0.065的差值
* 若差值小于0.01说明此次划分的子串个数就是**字长度,然后根据
* **字长度划分字符再结合公式得到**,从而找到明文
*/
public class Virginia {
public Virginia() {
// TODO Auto-generated constructor stub
}
public static void main(String[] args) {
System.out.println("输入密文:");
Scanner str=new Scanner(System.in);
Virginia vir=new Virginia();
String s=str.nextLine();
int branchLength=0;//**长度
//确定**长度
for(int i=1;i<s.length();i++) {
if(vir.suitable(s, i)) {
//说明此次划分的每个子串都离0.065很近
branchLength=i;
break;
}
}
//确定**
int[] key=vir.getKeys(s, branchLength);
//得到明文
String plainCode=vir.deCode(s,key);
System.out.println("明文是:\n"+plainCode);
}
//根据密文s和**keys得到明文
public String deCode(String s,int[] keys) {
String text="";
for(int i=0,j=0;i<s.length();i++,j++) {
if(j==keys.length)
j=0;
int result=0;
if((s.charAt(i)-'A'-keys[j])<0) {
result=(s.charAt(i)-'A'-keys[j])+26+'A';
}else {
result=(s.charAt(i)-'A'-keys[j])+'A';
}
text+=(char)result;
}
return text;
}
//根据密文串s和**长度m确定**
public int[] getKeys(String s,int m) {
float[] FRE= {0.082f,0.015f,0.028f,0.043f,0.127f,0.022f,0.020f,0.061f,
0.070f,0.002f,0.008f,0.040f,0.024f,0.067f,0.075f,0.019f,0.001f,
0.060f,0.063f,0.091f,0.028f,0.010f,0.023f,0.001f,0.020f,0.001f};
float a=0.0f;
String[] bs=branches(s,5);
int[] keys=new int[bs.length];
for(int t=0;t<bs.length;t++) {
for(int k=0;k<26;k++) {
for(int i=0;i<26;i++) {
a+=FRE[i]*pinlv(bs[t],(char)((i+k)%26+65));
}
if(Math.abs(0.065-a)<0.01) {
keys[t]=k;
}
a=0;
}
}
return keys;
}
//把字符串str划分成m个子串
public String[] branches(String str,int m) {
String[] branches=new String[m];//子串数组
for(int i=0;i<str.length();) {
for(int j=0;j<m;j++,i++) {
if(branches[j]==null) {
branches[j]=""+str.charAt(i);
}else if(i<str.length()) {
branches[j]=branches[j]+str.charAt(i);
}
}
}
return branches;
}
//计算子串str中某一字符c出现的频率
public float pinlv(String str,char c) {
float sum=0.0f;
//统计字符c出现的次数
for(int i=0;i<str.length();i++) {
if(str.charAt(i)==c) {
sum++;
}
}
return sum/(float)str.length();
}
//判断每个子串的重合指数是否都接近0.065
public boolean suitable(String str,int m) {
final float C=0.065f;
String[] bs=branches(str,m);//子串数组
//若每个子串的重合指数和0.065的差值的绝对值小于0.01,则此次划分合理,返回true
for(int j=0;j<m;j++) {
if(Math.abs(C-overlapIndex(bs[j]))>0.01) {
return false;
}
}
return true;
}
//计算字符串str重合指数
public float overlapIndex(String str) {
float index=0;
float sum=0;
float frequency=0;//字母频度
float length=str.length();//文本长度
for(int i=0;i<str.length();i++) {
char c=str.charAt(0);
for(int j=0;j<str.length();j++) {
if(str.charAt(j)==c) {
frequency++;
}
}
sum+=frequency*(frequency-1);
str=str.replaceAll(str.substring(0, 1), "");
frequency=0;
}
index=sum/(length*(length-1));
return index;
}
}
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