Nonbinary quantum codes from hermitian curves

Authors:
Pradeep Kiran Sarvepalli;Andreas Klappenecker
Affiliations:
Department of Computer Science, Texas A&M University, College Station, TX;Department of Computer Science, Texas A&M University, College Station, TX
Venue:
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Year:
2006

Citing 7
Cited 0

Remarks on codes from Hermitian curves

IEEE Transactions on Information Theory
Generalized Reed-Solomon codes from algebraic geometry

IEEE Transactions on Information Theory
A Course in Error-Correcting Codes (EMS Textbooks in Mathematics)

A Course in Error-Correcting Codes (EMS Textbooks in Mathematics)
Quantum error correction via codes over GF(4)

IEEE Transactions on Information Theory
Algebraic-geometry codes

IEEE Transactions on Information Theory
Nonbinary quantum codes

IEEE Transactions on Information Theory
Nonbinary quantum stabilizer codes

IEEE Transactions on Information Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

The extreme sensitivity of quantum information to ambient noise has prompted the study of quantum error-correcting codes.In this paper two families of quantum error-correcting codes are constructed based on Hermitian curves. Unlike the case of classical codes, it is a difficult, sometimes impossible, task to puncture a quantum stabilizer code. The puncture code of Hermitian codes is computed that allows one to determine the admissible puncturings. A large number of punctured Hermitian codes are derived by exploiting known facts about the weight distribution of these puncture codes.