[图书][B] Algebraic Geometric Codes: Basic Notions: Basic Notions
MA Tsfasman, SG Vlăduț, D Nogin - 2007 - books.google.com
The book is devoted to the theory of algebraic geometric codes, a subject formed on the
border of several domains of mathematics. on one side there are such classical areas as …
border of several domains of mathematics. on one side there are such classical areas as …
[图书][B] Introduction to coding theory
J Bierbrauer - 2016 - taylorfrancis.com
This book is designed to be usable as a textbook for an undergraduate course or for an
advanced graduate course in coding theory as well as a reference for researchers in …
advanced graduate course in coding theory as well as a reference for researchers in …
[图书][B] Rational points on curves over finite fields: theory and applications
H Niederreiter, C Xing - 2001 - books.google.com
Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on
algebraic curves over finite fields have been an important research topic for algebraic …
algebraic curves over finite fields have been an important research topic for algebraic …
[图书][B] Algebraic geometry in coding theory and cryptography
H Niederreiter, C Xing - 2009 - books.google.com
This textbook equips graduate students and advanced undergraduates with the necessary
theoretical tools for applying algebraic geometry to information theory, and it covers primary …
theoretical tools for applying algebraic geometry to information theory, and it covers primary …
Optimal and asymptotically good locally repairable codes via propagation rules
In classical coding theory, it is common to construct new codes via propagation rules. There
are various propagation rules to construct classical block codes. However, propagation rules …
are various propagation rules to construct classical block codes. However, propagation rules …
Asymptotically good quantum codes exceeding the Ashikhmin-Litsyn-Tsfasman bound
It is known that quantum error correction can be achieved using classical binary codes or
additive codes over F/sub 4/. Asymptotically good quantum codes have been constructed …
additive codes over F/sub 4/. Asymptotically good quantum codes have been constructed …
Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes
R Matsumoto - IEEE Transactions on Information Theory, 2002 - ieeexplore.ieee.org
Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes Page 1 2122 IEEE
TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 7, JULY 2002 B. Proof of Lemma …
TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 7, JULY 2002 B. Proof of Lemma …
A class of linear codes with good parameters from algebraic curves
A class of linear codes with good parameters is constructed in this correspondence. It turns
out that linear codes of this class are subcodes of the subfield subcodes of Goppa's …
out that linear codes of this class are subcodes of the subfield subcodes of Goppa's …
Constructing codes from algebraic curves
F Ozbudak, H Stichtenoth - IEEE Transactions on Information …, 1999 - ieeexplore.ieee.org
Constructing codes from algebraic curves Page 1 2502 IEEE TRANSACTIONS ON
INFORMATION THEORY, VOL. 45, NO. 7, NOVEMBER 1999 Constructing Codes from Algebraic …
INFORMATION THEORY, VOL. 45, NO. 7, NOVEMBER 1999 Constructing Codes from Algebraic …