عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9789048152032
شابک
9789401592390
شماره کتابشناسی ملی
شماره
b408401
عنوان و نام پديدآور
عنوان اصلي
Finite Fields: Theory and Computation
نام عام مواد
[Book]
ساير اطلاعات عنواني
The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography /
نام نخستين پديدآور
by Igor E. Shparlinski.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Dordrecht :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
1999.
فروست
عنوان فروست
Mathematics and Its Applications ;
مشخصه جلد
477
یادداشتهای مربوط به مندرجات
متن يادداشت
Links flowchart -- 1. Polynomial Factorization -- 2. Finding Irreducible and Primitive Polynomials -- 3. The Distribution of Irreducible, Primitive and Other Special Polynomials and Matrices -- 4. Bases and Computation in Finite Fields -- 5. Coding Theory and Algebraic Curves -- 6. Elliptic Curves -- 7. Recurrence Sequences in Finite Fields and Cyclic Linear Codes -- 8. Finite Fields and Discrete Mathematics -- 9. Congruences -- 10. Some Related Problems -- Appendix 1 -- Appendix 2 -- Appendix 3 -- References.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9789048152032
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebra-- Data processing.
موضوع مستند نشده
Computational complexity.
موضوع مستند نشده
Electronic data processing.
موضوع مستند نشده
Field theory (Physics).
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Number theory.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Shparlinski, Igor E.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190301081900.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
