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Linear codes associated to determinantal varieties in the space of hermitian matrices
Designs, Codes and Cryptography ( IF 1.6 ) Pub Date : 2024-03-05 , DOI: 10.1007/s10623-024-01360-7 Kanchan Singh , Ritesh Kumar Pathak , Sheo Kumar Singh
中文翻译:
与埃尔米特矩阵空间中的行列式簇相关的线性代码
更新日期:2024-03-05
Designs, Codes and Cryptography ( IF 1.6 ) Pub Date : 2024-03-05 , DOI: 10.1007/s10623-024-01360-7 Kanchan Singh , Ritesh Kumar Pathak , Sheo Kumar Singh
We introduce a new class of linear codes over a finite field associated to determinantal varieties in the space of hermitian matrices and determine their length, dimension and minimum distance along with the weight spectrum.
中文翻译:
与埃尔米特矩阵空间中的行列式簇相关的线性代码
我们在与埃尔米特矩阵空间中的行列式簇相关的有限域上引入了一类新的线性码,并确定它们的长度、维数和最小距离以及权谱。