By Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman
This self-contained advent to trendy cryptography emphasizes the maths in the back of the speculation of public key cryptosystems and electronic signature schemes. The booklet makes a speciality of those key subject matters whereas constructing the mathematical instruments wanted for the development and defense research of numerous cryptosystems. in basic terms uncomplicated linear algebra is needed of the reader; strategies from algebra, quantity idea, and chance are brought and built as required. this article presents an excellent creation for arithmetic and computing device technology scholars to the mathematical foundations of contemporary cryptography. The booklet comprises an in depth bibliography and index; supplementary fabrics can be found online.
The publication covers various themes which are thought of crucial to mathematical cryptography. Key themes include:
- classical cryptographic structures, similar to Diffie–Hellmann key trade, discrete logarithm-based cryptosystems, the RSA cryptosystem, and electronic signatures;
- fundamental mathematical instruments for cryptography, together with primality trying out, factorization algorithms, chance idea, details concept, and collision algorithms;
- an in-depth therapy of vital cryptographic recommendations, akin to elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.
The moment version of An creation
to Mathematical Cryptography incorporates a major revision of the cloth on electronic signatures, together with an past 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, in particular within the chapters on details idea, elliptic curves, and lattices, and the bankruptcy of extra themes has been increased to incorporate sections on electronic money and homomorphic encryption. Numerous new workouts 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