Work

Three MacWilliams type identities and quantum error-correcting $ G $ -codes

Year: 2024

Type: article

Abstract: We prove three MacWilliams type identities for irreducible projective representations of finite groups. As an application, we deduce the MacWilliams identities of weight enumerators, double weight enumerators and complete weight enumerators for quantum error-correcting $ G $-codes and obtain the Singleton bounds.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2024056

Authors: Chuangxun Cheng, Xiaoguang Shang

Institution: Nanjing University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405808708

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Cites: 11

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Related to: 10