背包密码的基础实现python

背包密码是一种基于背包问题的密码学算法，它可以用于加密和解密数据。下面是背包密码的基础实现示例（Python）：

# 背包密码的基础实现

# 生成超递增序列
def generate_superincreasing_sequence(n):
    sequence = [1]
    for i in range(n-1):
        sequence.append(sum(sequence) + 1)
    return sequence

# 生成公钥
def generate_public_key(sequence, q, r):
    public_key = []
    for num in sequence:
        public_key.append((num * q) % r)
    return public_key

# 加密
def encrypt(message, public_key):
    cipher_text = 0
    for i in range(len(message)):
        if message[i] == '1':
            cipher_text += public_key[i]
    return cipher_text

# 解密
def decrypt(cipher_text, sequence, q, r):
    private_key = []
    for num in sequence:
        private_key.append((num * q) % r)

    decrypted_message = ""
    for num in reversed(private_key):
        if cipher_text >= num:
            decrypted_message += '1'
            cipher_text -= num
        else:
            decrypted_message += '0'
    return decrypted_message[::-1]

# 示例
if __name__ == "__main__":
    # 超递增序列
    sequence = generate_superincreasing_sequence(8)
    print("超递增序列:", sequence)

    # 公钥生成参数
    q = 2
    r = 13

    # 生成公钥
    public_key = generate_public_key(sequence, q, r)
    print("公钥:", public_key)

    # 加密
    message = "11001010"
    cipher_text = encrypt(message, public_key)
    print("密文:", cipher_text)

    # 解密
    decrypted_message = decrypt(cipher_text, sequence, q, r)
    print("解密后的明文:", decrypted_message)