By Abhijit Das

Developed from the author’s renowned graduate-level direction, Computational quantity Theory offers an entire therapy of number-theoretic algorithms. fending off complicated algebra, this self-contained textual content is designed for complicated undergraduate and starting graduate scholars in engineering. it's also compatible for researchers new to the sector and practitioners of cryptography in industry.

Requiring no previous event with quantity concept or subtle algebraic instruments, the booklet covers many computational facets of quantity thought and highlights very important and engaging engineering purposes. It first builds the root of computational quantity idea via protecting the mathematics of integers and polynomials at a truly simple point. It then discusses elliptic curves, primality trying out, algorithms for integer factorization, computing discrete logarithms, and strategies for sparse linear platforms. The textual content additionally exhibits how number-theoretic instruments are utilized in cryptography and cryptanalysis. A devoted bankruptcy at the software of quantity thought in public-key cryptography accommodates fresh advancements in pairing-based cryptography.

With an emphasis on implementation concerns, the ebook makes use of the freely on hand number-theory calculator GP/PARI to illustrate complicated mathematics computations. The textual content contains various examples and routines all through and omits long proofs, making the fabric available to scholars and practitioners.

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Extra resources for Computational Number Theory (Discrete Mathematics and Its Applications)

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