By Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman
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 booklet specializes in those key themes whereas constructing the mathematical instruments wanted for the development and safety research of numerous cryptosystems. simply uncomplicated linear algebra is needed of the reader; ideas from algebra, quantity concept, and chance are brought and built as required. this article offers a terrific advent for arithmetic and laptop technology scholars to the mathematical foundations of contemporary cryptography. The ebook contains an intensive bibliography and index; supplementary fabrics can be found online.
The e-book covers a number of themes which are thought of significant to mathematical cryptography. Key subject matters include:
- classical cryptographic buildings, akin to Diffie–Hellmann key trade, discrete logarithm-based cryptosystems, the RSA cryptosystem, and electronic signatures;
- fundamental mathematical instruments for cryptography, together with primality checking out, factorization algorithms, chance thought, info concept, and collision algorithms;
- an in-depth remedy of vital cryptographic ideas, corresponding to elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.
The moment variation of An creation
to Mathematical Cryptography contains a major revision of the fabric 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 accelerated for readability, specially within the chapters on info concept, elliptic curves, and lattices, and the bankruptcy of extra themes has been elevated to incorporate sections on electronic funds and homomorphic encryption. Numerous new routines were included.
Read Online or Download An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics) PDF
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Extra info for An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics) by Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman