Entanglement-assisted Quantum Codes from Algebraic Geometry Codes

IEEE Transactions on Information Theory ◽

10.1109/tit.2021.3113367 ◽

2021 ◽

pp. 1-1

Author(s):

Francisco Revson F. Pereira ◽

Ruud Pellikaan ◽

Giuliano G. La Guardia ◽

Francisco M. De Assis

Keyword(s):

Algebraic Geometry ◽

Quantum Codes ◽

Algebraic Geometry Codes

Download Full-text

Quantum codes from a new construction of self-orthogonal algebraic geometry codes

Quantum Information Processing ◽

10.1007/s11128-020-2616-8 ◽

2020 ◽

Vol 19 (4) ◽

Author(s):

F. Hernando ◽

G. McGuire ◽

F. Monserrat ◽

J. J. Moyano-Fernández

Keyword(s):

Algebraic Geometry ◽

Quantum Codes ◽

Algebraic Geometry Codes ◽

Construction Of Self ◽

New Construction

Download Full-text

Euclidean and Hermitian Self-Orthogonal Algebraic Geometry Codes and Their Application to Quantum Codes

IEEE Transactions on Information Theory ◽

10.1109/tit.2011.2177066 ◽

2012 ◽

Vol 58 (8) ◽

pp. 5484-5489 ◽

Author(s):

Lingfei Jin ◽

Chaoping Xing

Keyword(s):

Algebraic Geometry ◽

Quantum Codes ◽

Algebraic Geometry Codes

Download Full-text

Asymptotic bounds on quantum codes from algebraic geometry codes

IEEE Transactions on Information Theory ◽

10.1109/tit.2005.862086 ◽

2006 ◽

Vol 52 (3) ◽

pp. 986-991 ◽

Author(s):

Keqin Feng ◽

San Ling ◽

Chaoping Xing

Keyword(s):

Algebraic Geometry ◽

Quantum Codes ◽

Algebraic Geometry Codes ◽

Asymptotic Bounds

Download Full-text

Performance analysis of a decoding algorithm for algebraic geometry codes

Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252) ◽

10.1109/isit.1998.708983 ◽

2002 ◽

Author(s):

H.E. Jensen ◽

R.R. Nielsen ◽

T. Hoeholdt

Keyword(s):

Algebraic Geometry ◽

Performance Analysis ◽

Algebraic Geometry Codes ◽

Decoding Algorithm

Download Full-text

On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups

Designs Codes and Cryptography ◽

10.1007/s10623-018-0483-4 ◽

2018 ◽

Vol 86 (12) ◽

pp. 2893-2916 ◽

Author(s):

José I. Farrán ◽

Pedro A. García-Sánchez ◽

Benjamín A. Heredia

Keyword(s):

Algebraic Geometry ◽

Algebraic Geometry Codes ◽

Rao Distance ◽

Download Full-text

Generalized Berlekamp-Massey decoding of algebraic geometry codes up to half the Feng-Rao bound

Proceedings of 1994 IEEE International Symposium on Information Theory ◽

10.1109/isit.1994.394818 ◽

2002 ◽

Author(s):

S. Sakata ◽

H.E. Jensen ◽

T. Hoholdt

Keyword(s):

Algebraic Geometry ◽

Algebraic Geometry Codes

Download Full-text

Introduction to algebraic geometry codes

Recent Trends in Coding Theory and Its Applications - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/041/01 ◽

2007 ◽

pp. 3-13

Keyword(s):

Algebraic Geometry ◽

Algebraic Geometry Codes

Download Full-text

Stopping Set Distributions of Algebraic Geometry Codes from Elliptic Curves

Lecture Notes in Computer Science - Theory and Applications of Models of Computation ◽

10.1007/978-3-642-29952-0_31 ◽

2012 ◽

pp. 295-306

Author(s):

Jun Zhang ◽

Fang-Wei Fu ◽

Daqing Wan

Keyword(s):

Algebraic Geometry ◽

Elliptic Curves ◽

Algebraic Geometry Codes ◽

Download Full-text

Two remarks on the spectra of algebraic geometry codes

Arithmetic, Geometry, and Coding Theory ◽

10.1515/9783110811056.253 ◽

2012 ◽

Author(s):

S. G. Vlăduţ

Keyword(s):

Algebraic Geometry ◽

Algebraic Geometry Codes

Download Full-text

On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - Lecture Notes in Computer Science ◽

10.1007/3-540-45624-4_18 ◽

2001 ◽

pp. 172-181 ◽

Author(s):

Shojiro Sakata

Keyword(s):

Algebraic Geometry ◽

Interpolation Method ◽

Algebraic Geometry Codes ◽

Download Full-text