Titlebook: Elliptic Curves and Their Applications to Cryptography; An Introduction Andreas Enge Book 1999 Springer Science+Business Media New York 199

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The Group Law On Elliptic Curves,evious chapter, as suggested first in [Koblitz, 1987] and [Miller, 1986]. They are particularly appealing because they achieve the same level of security as a finite field based cryptosystem with much shorter key lengths, which results in a faster encryption and decryption process. Our aim in this c

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The Discrete Logarithm Problem,ho could efficiently compute discrete logarithms in the group underlying such a cryptosystem would be able to break the system. So to judge the security of the proposed cryptosystems we must have a closer look at algorithms for solving discrete logarithm problems.

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Counting Points on Elliptic Curves,unless special structures allow more efficient algorithms for breaking the system. If the group order is large enough, then square root attacks like Shanks’s baby-step giant-step or Pollard’s ρ-methods are not applicable. To make the Pohlig-Hellman attack impractical, two different approaches are co

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Elliptic Curves and Their Applications to CryptographyAn Introduction

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Contribution of Traditional Ecological Knowledge on Biodiversity Conservation—A Retrospective from the Hindu Kush Himalayaund in the region highlighting the contribution toward biodiversity conservation at ecosystem, species, genes, and its interfaces. There is a need for appreciation, recognition, and mainstreaming of some of these good practices in policies to ensure sustaining biodiversity and ecosystem services from the fragile mountains of the HKH.