Further Improving Efficiency of Higher-Order Masking Schemes by Decreasing Randomness Complexitys - 2017


Most cryptographic implementations are prone to side-channel attacks. Among the countermeasures, masking is the most common one. In the sphere of provable secure masking schemes, it is a tough task to design a masking scheme for the multiplication with related multiplicands. Among all the corresponding solutions, the one proposed by Coron et al. in FSE 2013 achieves the most effective potency. Furthermore, in CRYPTO 2015, we have a tendency to claim that this theme will be extended to secure any quadratic functions and therefore allows secure evaluation of S-box, that considerably outperforms any other ways. During this paper, we tend to additional promote the efficiency of Coron's theme by decreasing the random generations according to two observations. 1st, by modifying each combine of intermediate values on two sides of a diagonal line, 0.5 of all the specified random values will be removed. Second, some randomness can be reused. All random values in one out of two lines can be replaced with the identical random value. According to those 2 observations, we have a tendency to propose 2 new schemes. The primary proposal improves the initial scheme with a fifty% randomness reduction and satisfies a stronger compositional security notion d -SNI, while the second proposal improves the original theme with a 50percent-seventy fivepercent randomness reduction and satisfies a weaker compositional security notion d -TNI. We have a tendency to give the security proof for each schemes. Moreover, we provide an example of the masked Advanced Encryption Normal (AES) inversion circuits where both the first and second proposals are applied, considerably outperforming the initial AES inversion with a 43percent-fifty sevenpercent saving of random generations. This indicates that our proposals can be used to create secure and efficient implementations of cryptographic algorithms.

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