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Improving BLISS

January 10, 2017

BLISS is a lattice signature scheme published in CRYPTO 2013. The key idea of the paper is use a bimodal distribution to optimize rejection sampling. Here, we investigate using a multi-modal distribution for the same goal.

Essentially we want to keep the following quantity of BLISS small: \frac{e^x+e^{-x}}{\min_x e^x+e^{-x}}. By changing it to a four-modal distribution, it becomes \frac{e^x+e^{-x}+e^{3x}+e^{-3x}}{\min_x e^x+e^{-x}+e^{3x}+e^{-3x}}, which is however bigger. Thus it does not work.

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