二元域运算python的示例

以下是二元域运算 Python 的示例：

class BinaryFieldElement:
    def __init__(self, value, prime):
        if value >= prime or value < 0:
            error = "Value {} not in field range 0 to {}.".format(value, prime - 1)
            raise ValueError(error)
        self.value = value
        self.prime = prime
    
    def __repr__(self):
        return "BinaryFieldElement_{}({})".format(self.prime, self.value)

    def __eq__(self, other):
        if other is None:
            return False
        return self.value == other.value and self.prime == other.prime

    def __ne__(self, other):
        return not (self == other)

    def __add__(self, other):
        if self.prime != other.prime:
            raise TypeError("Cannot add two numbers in different Fields")
        value = (self.value + other.value) % self.prime
        return self.__class__(value, self.prime)

    def __sub__(self, other):
        if self.prime != other.prime:
            raise TypeError("Cannot subtract two numbers in different Fields")
        value = (self.value - other.value) % self.prime
        return self.__class__(value, self.prime)

    def __mul__(self, other):
        if self.prime != other.prime:
            raise TypeError("Cannot multiply two numbers in different Fields")
        value = (self.value * other.value) % self.prime
        return self.__class__(value, self.prime)

    def __truediv__(self, other):
        if self.prime != other.prime:
            raise TypeError("Cannot divide two numbers in different Fields")
        value = (self.value * pow(other.value, self.prime - 2, self.prime)) % self.prime
        return self.__class__(value, self.prime)

    def __pow__(self, n):
        value = pow(self.value, n, self.prime)
        return self.__class__(value, self.prime)

这是一个简单的实现，在二元域内实现了常见的加、减、乘、除和指数运算。以上代码可以帮助你更好地理解和掌握二元域运算的 Python 实现。