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finite_fields:07_multiplicative_group [2014/01/08 15:44] marje created |
finite_fields:07_multiplicative_group [2014/01/20 11:23] marje |
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| Unfortunately, while multiplication is easy in the exponent representation, addition becomes very difficult, and therefore this representation often cannot be used in practice. Nevertheless, even knowing that such a representation exists gives valuable insight into the multiplicative structure of finite fields, which can be used to discover their properties, as we shall see in the next lesson. | Unfortunately, while multiplication is easy in the exponent representation, addition becomes very difficult, and therefore this representation often cannot be used in practice. Nevertheless, even knowing that such a representation exists gives valuable insight into the multiplicative structure of finite fields, which can be used to discover their properties, as we shall see in the next lesson. | ||
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