Posted by **harrry** at June 14, 2009

Now Publishers Inc. | ISBN 1933019077 | 2005 Year | PDF | 1,18 Mb | 88 Pages

Elementary number theory was the basis of the development of error correcting codes in the early years of coding theory. Finite fields were the key tool in the design of powerful binary codes and gradually entered in the general mathematical background of communications engineers. Thanks to the technological developments and increased processing power available in digital receivers, attention moved to the design of signal space codes in the framework of coded modulation systems. Here, the theory of Euclidean lattices became of great interest for the design of dense signal constellations well suited for transmission over the Additive White Gaussian Noise (AWGN) channel.

Posted by **libr** at April 12, 2017

English | 2005 | ISBN: 0821804294 | ISBN-13: 9780821804292 | 276 pages | DJVU | 3,9 MB

Posted by **Rare-1** at Dec. 6, 2015

2011 | ISBN-10: 1439845980 | PDF | 442 pages | 3,02 MB

Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class groups in the third chapter. Applications are now collected in chapter four and at the end of chapter five, where primality testing is highlighted as an application of the Kronecker–Weber theorem. In chapter five, the sections on ideal decomposition in number fields have been more evenly distributed. The final chapter continues to cover reciprocity laws.

Posted by **roxul** at Nov. 24, 2015

2011 | ISBN-10: 1439845980 | PDF | 442 pages | 3,7 MB

Posted by **tarantoga** at Oct. 4, 2015

Posted by **DZ123** at July 23, 2015

English | 2010 | ISBN: 0486477541 | PDF | pages: 95 | 3,1 mb

Posted by **tanas.olesya** at May 1, 2015

English | June 22, 1999 | ISBN: 3540653996 | 571 Pages | PDF | 19 MB

This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples.

Posted by **interes** at March 31, 2015

English | 2003 | ISBN: 0521832500 | 446 pages | PDF | 3,3 MB

Posted by **tanas.olesya** at March 22, 2015

English | Aug 1, 2000 | ISBN: 3540556400, 0387556400 | 563 Pages | DJVU | 7 MB

A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring.

Posted by **tanas.olesya** at March 21, 2015

English | Aug 26, 1993 | ISBN: 0817629130, 3764329130 | 99 Pages | PDF | 21 MB

Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. For this reason, the Deutsche Mathematiker Vereinigung initiated an introductory graduate seminar on this topic in Düsseldorf.