cyclic-css-t
Parity check matrices of the constituent codes for the CSS-T codes derived in the paper "An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance"
Science Score: 57.0%
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Low similarity (5.7%) to scientific vocabulary
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Repository
Parity check matrices of the constituent codes for the CSS-T codes derived in the paper "An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance"
Basic Info
- Host: GitHub
- Owner: RodrigoSanJose
- Default Branch: main
- Homepage: https://doi.org/10.1007/s11128-024-04427-5
- Size: 2.34 MB
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- Stars: 2
- Watchers: 1
- Forks: 1
- Open Issues: 0
- Releases: 0
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Metadata Files
README.md
CSS-T codes from cyclic codes
This is the repository for the codes obtained in the paper "E. Camps-Moreno, H.H. López, G.L. Matthews, D. Ruano, R. San-José, I. Soprunov. An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance. Quantum Inf Process 23, 230 (2024)". DOI: https://doi.org/10.1007/s11128-024-04427-5
Files
For a given CSS-T code with parameters [[n,k,d]], the zip archive Matrices.zip contains a parity check matrix for C1 in the files "nkdC1.txt" and "nkdC1.npy". Similarly for C2.
-The .txt files contain in the first line the cyclotomic sets used to construct the (extended) cyclic codes (resp. the degree for Reed-Muller codes), and the parity check matrix in plain text. For non-extended cyclic codes, we use 0 instead of n for the cyclotomic sets (with respect to the paper).
-The .npy files contain the parity check matrix in binary format. We provide below an example to load this matrix with Python and SageMath.
Example to load the matrices for the code [[32,4,4]]
Python:
import numpy
H1=numpy.load('3244_C1.npy')
H2=numpy.load('3244_C2.npy')
(H1 and H2 are the parity check matrices of C1 and C2 in numpy array format)
SageMath
import numpy
A1=numpy.load('3244_C1.npy')
A2=numpy.load('3244_C2.npy')
H1=matrix(GF(2),A1)
H2=matrix(GF(2),A2)
C1=LinearCode(H1).dual_code()
C2=LinearCode(H2).dual_code()
Owner
- Name: Rodrigo San-José
- Login: RodrigoSanJose
- Kind: user
- Location: Valladolid, Spain
- Company: University of Valladolid
- Website: https://sites.google.com/view/rodrigosan-jose
- Repositories: 1
- Profile: https://github.com/RodrigoSanJose
Citation (CITATION.cff)
# This CITATION.cff file was generated with cffinit.
cff-version: 1.2.0
title: >-
Parity check matrices for the codes in ``An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance''
message: >-
If you use this dataset, please cite it using the metadata
from this file.
type: dataset
authors:
- given-names: Eduardo
family-names: Camps-Moreno
- given-names: Hiram H.
family-names: López
- given-names: Gretchen L.
family-names: Matthews
- given-names: Diego
family-names: Ruano
- given-names: Rodrigo
family-names: San-José
- given-names: Ivan
family-names: Soprunov
identifiers:
- type: doi
value: 10.1007/s11128-024-04427-5
description: Journal Version of the paper
repository-code: 'https://github.com/RodrigoSanJose/Cyclic-CSS-T'
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