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Erschienen in:
1998 | OriginalPaper | Buchkapitel
Elliptic and Hyperelliptic Cryptosystems
verfasst von : Neal Koblitz
Erschienen in: Algebraic Aspects of Cryptography
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Starting in about 1985, the theory of elliptic and hyperelliptic curves over finite fields has been applied to various problems in cryptography: factorization of integers, primality testing, and construction of cryptosystems. In this chapter we shall discuss the last of these. One of the main reasons for interest in cryptosystems based on elliptic and hyperelliptic curves is that these curves are a source of a tremendous number of finite abelian groups having a rich algebraic structure.