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Public-key Cryptography: Theory and Practice by C. E. Veni Madhavan, Abhijit Das

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2.9. Finite Fields

Finite fields are seemingly the most important types of fields used in cryptography. They enjoy certain nice properties that infinite fields (in particular, the well-known fields like , and ) do not. We concentrate on some properties of finite fields in this section. As we see later, arithmetic over a finite field K is fast, when char K = 2 or when #K is a prime. As a result, these two classes of fields are the most common ones ...

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