Download Introduction to Cryptography with Maple by José Luis Gómez Pardo PDF

By José Luis Gómez Pardo

This advent to cryptography employs a programming-oriented method of learn crucial cryptographic schemes in present use and the most cryptanalytic assaults opposed to them. dialogue of the theoretical features, emphasizing specified defense definitions in keeping with methodological instruments resembling complexity and randomness, and of the mathematical points, with emphasis on number-theoretic algorithms and their functions to cryptography and cryptanalysis, is built-in with the programming process, hence supplying implementations of the algorithms and schemes in addition to examples of reasonable size. 

A virtue of the author's strategy is using Maple as a programming atmosphere within which not only the cryptographic primitives but in addition crucial cryptographic schemes are applied following the ideas of criteria our bodies similar to NIST, with a number of the recognized cryptanalytic assaults applied to boot. the aim of the Maple implementations is to enable the reader test and research, and as a result the writer contains a variety of examples. The ebook discusses vital fresh matters comparable to homomorphic encryption, identity-based cryptography and elliptic curve cryptography. The algorithms and schemes that are taken care of intimately and applied in Maple comprise AES and modes of operation, CMAC, GCM/GMAC, SHA-256, HMAC, RSA, Rabin, Elgamal, Paillier, Cocks IBE, DSA and ECDSA. furthermore, a few lately brought schemes having fun with powerful defense houses, similar to RSA-OAEP, Rabin-SAEP, Cramer--Shoup, and PSS, also are mentioned and applied. at the cryptanalysis aspect, Maple implementations and examples are used to debate many very important algorithms, together with birthday and man-in-the-middle assaults, integer factorization algorithms similar to Pollard's rho and the quadratic sieve, and discrete log algorithms corresponding to baby-step giant-step, Pollard's rho, Pohlig--Hellman and the index calculus method.

This textbook is acceptable for complicated undergraduate and graduate scholars of machine technology, engineering and arithmetic, pleasing the necessities of varied different types of classes: a easy introductory path; a theoretically orientated path whose concentration is at the specified definition of protection suggestions and on cryptographic schemes with reductionist safety proofs; a practice-oriented path requiring little mathematical historical past and with an emphasis on functions; or a mathematically complicated direction addressed to scholars with a better mathematical historical past. the most prerequisite is a uncomplicated wisdom of linear algebra and simple calculus, and whereas a few wisdom of chance and summary algebra will be valuable, it isn't crucial as the booklet contains the required historical past from those topics and, additionally, explores the number-theoretic fabric intimately. The publication is additionally a entire reference and is acceptable for self-study by way of practitioners and programmers.

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