A Tale of Two Shares: Why Two-Share Threshold Implementation Seems Worthwhile-and Why it is Not

Cong Chen, Mohammad Farmani, Thomas Eisenbarth

Abstract: In this work, we explore the possibilities for practical Threshold Implementation (TI) with only two shares in order for a smaller design that needs less randomness but is still first-order leakage resistant. We present the first two-share Threshold Implementations of two lightweight block ciphers---Simon and Present. The implementation results show that two-share TI gains in compactness while loses in throughput compared with three-share schemes. Moreover, the leakage analyses show that two-share TI retains perfect first-order resistance but is shadowed by a strong second-order leakage, making it less worthwhile.