Inner Product Masking (IPM) is a generalization of several masking schemes including the Boolean one to protect cryptographic implementation against side-channel analysis. The core competitiveness of IPM is that it provides higher side-channel resistance than Boolean masking with the same number of shares. In this paper, we follow a coding theoretic approach and categorize all linear codes of IPM with n = 2 shares over the finite field \({\mathbb {F}}_{2^{8}}\) in terms of side-channel resistance. We focus on 2-share masking schemes, as they provide, at bit-level, as high as 3rd-order security (much higher than the 1st-order security of Boolean masking). We present the optimal codes for IPM in the sense of side-channel resistance assessed by the signal-to-noise ratio (SNR) and the mutual information (MI). We also show that IPM with equivalent linear codes have comparable level of side-channel resistance. Furthermore, we take the Best Known Linear Codes into consideration for comparison. The numerical results of SNR and MI confirm the effectiveness of our proposal for categorizing.

内部产品屏蔽（IPM）是几种屏蔽方案的概括，其中包括布尔值（布尔）方案，以保护加密实现免受边信道分析的影响。IPM的核心竞争力在于，与具有相同份额的布尔掩码相比，IPM提供更高的侧信道阻抗。在本文中，我们遵循一种编码理论方法，将IPM的所有线性码在有限域\（{{mathbb {F}} _ {2 ^ {8}} \\}}上的n = 2个份额分类为-通道电阻。我们专注于2共享掩码方案，因为它们在位级别提供了高达3阶安全性（远高于布尔掩码的1阶安全性）。在通过信噪比（SNR）评估的旁通道电阻的意义上，我们提出了IPM的最佳代码）和互信息（MI）。我们还表明，具有等效线性代码的IPM具有相当水平的侧通道电阻。此外，我们将最知名的线性代码进行比较。SNR和MI的数值结果证实了我们提出的分类方法的有效性。