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by Chaoping Xing,Harald Niederreiter
Download Rational Points on Curves over Finite Fields: Theory and Applications (London Mathematical Society Lecture Note Series) fb2
Mathematics
  • Author:
    Chaoping Xing,Harald Niederreiter
  • ISBN:
    0521665434
  • ISBN13:
    978-0521665438
  • Genre:
  • Publisher:
    Cambridge University Press; 1 edition (June 18, 2001)
  • Pages:
    256 pages
  • Subcategory:
    Mathematics
  • Language:
  • FB2 format
    1835 kb
  • ePUB format
    1358 kb
  • DJVU format
    1586 kb
  • Rating:
    4.4
  • Votes:
    795
  • Formats:
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Series: London Mathematical Society Lecture Note Series (Book 285). Paperback: 256 pages. I originally found Rational Points On Points Over Finite Fields when doing self study on permutation polynomials and I came across the name Harald Niederreiter.

Series: London Mathematical Society Lecture Note Series (Book 285). Although this book does not cover that subject, it is an interesting text in the realm of modern mathematics applied to coding theory and cryptography. I will admit that I probably wasn't the intended audience for this book as I am not an expert in the field already.

Start by marking Rational Points on Curves over Finite Fields: Theory and Applications (London Mathematical Society Lecture Note Series) as Want to Read: Want to Read savin. ant to Read. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus).

They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves . Series: London Mathematical Society Lecture Note Series.

They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.

The book also demonstrates interconnections with other branches of pure mathematics such as number theory, group theory and algebraic geometry. This volume is an invaluable resource.

Niederreiter, . Xing, . Rational Points on Curves over Finite Fields: Theory and Applications. London Mathematical Society Lecture Note Series, vol. 285. Cambridge University Press, Cambridge (2001)Google Scholar

Niederreiter, . Cambridge University Press, Cambridge (2001)Google Scholar. 9. Niederreiter, . Algebraic Geometry in Coding Theory and Cryptography. Princeton University Press, Princeton (2009)zbMATHGoogle Scholar. 10. Özbudak, . Gülmez Temür, . Finite number of fibre products of Kummer covers and curves with many points over finite fields. 70(3), 385–404 (2014)MATHGoogle Scholar.

Author : Harald Niederreiter,Chaoping Xing. Publisher : Cambridge University Press. Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences.

points on curves over finite fields: Theory and Applications, H. NIEDERREITER & C. XING Clifford algebras and spinors 2nd edn, P. LOUNESTO Topics on Riemann surfaces and Fuchsian groups, E. BUJALANCE, A. F. COSTA & E. MARTINEZ (eds) Surveys i. . MARTINEZ (eds) Surveys in combinatorics, 2001, J. W. P. HIRSCHFELD (ed) Aspects of Sobolev-type inequalities, L. SALOFF-COSTE Quantum groups and Lie theory, A. PRESSLEY Tits buildings.

fields: theory and applications, H. HIRSCHFELD (ed).

From this point, Harald Niederreiter has extensively investigated algebraic curves over.

Xing) Rational points on curves over nite elds: theory and applica-tions. London Mathematical Society Lecture Note Series, 285. Cambridge Univer-sity Press, 2001. Xing) Algebraic geometry in coding theory and cryptography. From this point, Harald Niederreiter has extensively investigated algebraic curves over. nite elds with many rational points and their applications. Algebraic curves over nite. For many of the applications, people are interested in algebraic curves over.

Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an important application of such curves, namely, to the construction of low-discrepancy sequences, needed for numerical methods in diverse areas. They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.