DMCA. Copyrighted Work that you can Claim.
Base have 820 524 books.
Search: 


📙 Development of the Number Field Sieve by Lenstra H. W. — free pdf


The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollards original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

About book:

About file:

  • File size: 625 186
  • Format: djvu


Security code:
Download button

Similar books results


The Development of the Number Field Sieve
The Development of the Number Field Sieve free epub by Arjen K. Lenstra, Hendrik W.Jr. Lenstra

The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algori...

The development of the number field sieve
The development of the number field sieve download pdf by H. W. Lenstra Jr. (auth.), Arjen K. Lenstra, Hendrik W. Lenstra Jr. (eds.)

The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algori...

An Introduction to the General Number Field Sieve
An Introduction to the General Number Field Sieve epub download by Briggs M.

The General Number Field Sieve (GNFS) is the fastest known method for factoring "large" integers, where large is generally taken to mean over 110 digits. This makes it the best algorithm for attempting to unscramble keys in the RSA [2, Chapter 4] public-k...

RSA and public-key cryptography
RSA and public-key cryptography free pdf by Richard A. Mollin

Although a vast literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of t...

Foundations of Analysis Over Surreal Number Fields
Foundations of Analysis Over Surreal Number Fields epub download by Norman L. Alling (Eds.)

In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold ove...

Algorithmic number theory: lattices, number fields, curves and cryptography
Algorithmic number theory: lattices, number fields, curves and cryptography pdf free by J.P. Buhler, P. Stevenhagen

Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and beca...

Algebraic number fields
Algebraic number fields free pdf by Gerald J. Janusz

The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in numb...

Number fields
Number fields download pdf by Daniel A. Marcus

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights the imp...

RSA and Public-Key Cryptography
RSA and Public-Key Cryptography free pdf by Richard A. Mollin

Although a vast literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of t...