An Introduction to Mathematical Cryptography (Undergraduate - download pdf or read online

By Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman

ISBN-10: 1493917102

ISBN-13: 9781493917105

ISBN-10: 1493939386

ISBN-13: 9781493939381

This self-contained advent to trendy cryptography emphasizes the math at the back of the speculation of public key cryptosystems and electronic signature schemes. The e-book specializes in those key themes whereas constructing the mathematical instruments wanted for the development and safety research of numerous cryptosystems. basically easy linear algebra is needed of the reader; suggestions from algebra, quantity thought, and chance are brought and constructed as required. this article offers a great advent for arithmetic and laptop technological know-how scholars to the mathematical foundations of recent cryptography. The booklet comprises an intensive bibliography and index; supplementary fabrics can be found online.

The booklet covers numerous themes which are thought of vital to mathematical cryptography. Key subject matters include:

  • classical cryptographic structures, equivalent to DiffieHellmann key alternate, discrete logarithm-based cryptosystems, the RSA cryptosystem, and electronic signatures;
  • fundamental mathematical instruments for cryptography, together with primality checking out, factorization algorithms, chance conception, details idea, and collision algorithms;
  • an in-depth remedy of significant cryptographic strategies, corresponding to elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.

The moment version of An advent

to Mathematical Cryptography features a major revision of the cloth on electronic signatures, together with an prior creation to RSA, Elgamal, and DSA signatures, and new fabric on lattice-based signatures and rejection sampling. Many sections were rewritten or increased for readability, specially within the chapters on info thought, elliptic curves, and lattices, and the bankruptcy of extra issues has been improved to incorporate sections on electronic funds and homomorphic encryption. Numerous new workouts were included.

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An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics) by Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman

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