HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes
HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes
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DOI：
10.1109/isit54713.2023.10206764
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发表时间：
2023-03
期刊：
影响因子：
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通讯作者：
R. A. Machado;Welington Santos;Gretchen L. Matthews
中科院分区：
文献类型：
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作者：
R. A. Machado;Welington Santos;Gretchen L. Matthews
我们考虑了安全分布式矩阵乘法（SDMM）的问题，其中用户有两个矩阵，并希望在n诚实但好奇的服务器的帮助下计算其产品，这是在安全性约束下，任何有关A或B的信息都不会泄露为任何服务器。本文提出了一种新方案，该方案考虑了矩阵A和B的内部产品分区。我们的中心技术分别依赖于Hermitian代码及其双重代码编码矩阵A和B。我们介绍了Hermitian代数（HERA）计划，该方案采用了隐士代码，并描述了属于有限元素的矩阵条目的分区和安全能力，并具有Q2元素。我们展示了该方案在明显较小的有限字段中执行安全的分布式矩阵乘法，并与文献中现有结果相比，扩大了安全津贴。
We consider the problem of secure distributed matrix multiplication (SDMM), where a user has two matrices and wishes to compute their product with the help of N honest but curious servers under the security constraint that any information about either A or B is not leaked to any server. This paper presents a new scheme that considers the inner product partition for matrices A and B. Our central technique relies on encoding matrices A and B in a Hermitian code and its dual code, respectively. We present the Hermitian Algebraic (HerA) scheme, which employs Hermitian codes and characterizes the partitioning and security capacities given entries of matrices belonging to a finite field with q2 elements. We showcase that this scheme performs the secure distributed matrix multiplication in a significantly smaller finite field and expands security allowances compared to the existing results in the literature.