Quantum codes from codes over Gaussian integers with respect to the Mannheim metric

TL;DR

This paper constructs nonbinary quantum codes from classical Gaussian integer codes using the Mannheim metric, demonstrating some codes outperform existing ones or are comparable to the best known.

Contribution

Introduces new quantum codes derived from Gaussian integer codes with Mannheim metric, improving or matching previous code performance.

Findings

Some quantum codes outperform previous codes

Certain codes are comparable to the best known

New construction methods for quantum codes using Gaussian integers

Abstract

In this paper, some nonbinary quantum codes using classical codes over Gaussian integers are obtained. Also, some of our quantum codes are better than or comparable with those known before, (for instance [[8; 2; 5]]4+i).