Work

MDS stabilizer poset codes

Year: 2025

Type: article

Abstract: Poset metrics in the context of stabilizer codes are investigated. We establish a Singleton-type bound for stabilizer poset codes and introduce the notion of MDS stabilizer poset codes. Several characterizations of these codes are obtained, including criteria in terms of additive codes and perfect codes. We also prove existence results for large families of examples, thereby extending classical results on MDS poset codes to the quantum setting.

Source: Designs Codes and Cryptography

DOI: 10.1007/s10623-025-01743-4

Author: Mahir Bilen Can

Institutions: Tulane University, Okinawa Institute of Science and Technology Graduate University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Louisiana Board of Regents, Okinawa Institute of Science and Technology Graduate University