通过比较来预测字符串



今天我醒了,想到是否可以预测字符串仅分析每个比较之间的时间。

我创建了一个基本的类(我知道它不是最好的算法,但对我有用)尝试证明这一点,答案是是YES

import java.util.HashMap;
import java.util.Map;
import java.util.Map.Entry;
public class Test {
    public static final int iters = 1000000;
    public static final String SECRET_WORD = "85742";
    public static final char[] LETTERS = new char[] { '1', '2', '3', '4', '5',
            '6', '7', '8', '9', '0' };
    public static void main(String[] args) {
        int length = calculateLength();
        System.out.println("Secret word is " + SECRET_WORD
                + " with a real length of " + SECRET_WORD.length()
                + " and a calculate Length of " + length);
        prediceText(length);
    }
    private static String prediceText(int length) {
        StringBuilder sbMain = new StringBuilder(length);
        for (int i = 0; i < length; i++) {
            Map<Character, Double> map = map2();
            while (map.entrySet().size() > 1) {
                for (Entry<Character, Double> entry : map.entrySet()) {
                    String str = sbMain.toString() + entry.getKey();
                    while (str.length() < length) {
                        str += " ";
                    }
                    long[] diffs = new long[iters];
                    for (int j = 0; j < iters; j++) {
                        long timeInit = System.nanoTime();
                        if (SECRET_WORD.equals(str)) {
                        }
                        diffs[j] = System.nanoTime() - timeInit;
                    }
                    long total = 0;
                    for (long diff : diffs) {
                        total += diff;
                    }
                    entry.setValue((double) total / iters);
                }
                double min = Double.MAX_VALUE;
                char myChar = 'a';
                for (Entry<Character, Double> entry : map.entrySet()) {
                    if (entry.getValue() < min) {
                        myChar = entry.getKey();
                        min = entry.getValue();
                    }
                }
                System.out.print(".");
                map.remove(myChar);
            }
            sbMain.append(map.keySet().iterator().next());
            System.out.println("####### " + sbMain.toString() + " ######");
        }
        return sbMain.toString();
    }
    private static int calculateLength() {
        Map<Integer, Double> map = map();
        int iter = 0;
        while (map.entrySet().size() > 1) {
            for (Entry<Integer, Double> entry : map.entrySet()) {
                StringBuilder sb = new StringBuilder();
                while (sb.length() < entry.getKey()) {
                    sb.append("a");
                }
                String str = sb.toString();
                long[] diffs = new long[iters];
                for (int i = 0; i < iters; i++) {
                    long timeInit = System.nanoTime();
                    if (SECRET_WORD.equals(str)) {
                    }
                    diffs[i] = System.nanoTime() - timeInit;
                }
                long total = 0;
                for (long diff : diffs) {
                    total += diff;
                }
                entry.setValue((double) total / iters);
            }
            double min = Double.MAX_VALUE;
            int length = 0;
            for (Entry<Integer, Double> entry : map.entrySet()) {
                if (entry.getValue() < min) {
                    length = entry.getKey();
                    min = entry.getValue();
                }
            }
            System.out.print(".");
            iter++;
            map.remove(length);
        }
        return map.keySet().iterator().next();
    }
    private static Map<Integer, Double> map() {
        Map<Integer, Double> map = new HashMap<Integer, Double>();
        for (int i = 1; i < 21; i++) {
            map.put(i, (double) 0);
        }
        return map;
    }
    private static Map<Character, Double> map2() {
        Map<Character, Double> map = new HashMap<Character, Double>();
        for (char myChar : LETTERS) {
            map.put(myChar, (double) 0);
        }
        return map;
    }
}

此控制台显示:

...................Secret word is 85742 with a real length of 5 and a calculate Length of 5
.........####### 8 ######
.........####### 85 ######
.........####### 857 ######
.........####### 8574 ######
.........####### 85742 ######

该代码可以为我预测成功率90%的字符串,然后我认为良好的算法可能是一个问题。

这个问题是否具有安全含义

是的,此类问题可能具有安全性。这就是时间攻击,在密码学中广为人知。通常,使用不同的算法比较敏感数据,例如无论是否发现差异,所有符号都被比较直到最后。但是应该采取预防措施,因为智能JIT编译器可以优化您的代码,因此仍然很脆弱。

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