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An Improved Encryption Scheme for Traitor Tracing from Lattice

机译：一种从晶格追踪者的改进加密方案

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摘要

This article first describes a paper by Ling, Phan, and Stehle at the CRYPTO 2014 which presented the first encryption scheme for traitor tracing from lattice, and the scheme is almost as efficient as the learning with errors (LWE) encryption. However, their scheme is not constructed on an efficient trapdoor, that is, the trapdoor generation and preimage sampling algorithms are rather complex and not suitable for practice. This article is considered to use the MP12 trapdoor to construct an improved traitor tracing scheme. First, by using batch execution method, this article proposes an improved extracting algorithm for the user's key. Then, this article combines that with multi-bit encryption system to construct an efficient one-to-many encryption scheme. Furthermore, it is presented that a novel projective sampling family has very small hidden constants. Finally, a comparative analysis shows that the parameters of the scheme such as lattice dimension, trapdoor size, and ciphertext expansion rate, etc., all decrease in some degree, and the computational cost is reduced.
机译：本文首先介绍了Ling，Phan和Stehle在CRYPTO 2014上发表的一篇论文，该论文提出了第一种从晶格追踪叛徒的加密方案，该方案几乎与带错误学习（LWE）加密一样有效。然而，它们的方案不是建立在有效的活板门上，也就是说，活板门生成和原像采样算法相当复杂，不适合实践。本文被认为是使用MP12陷门来构建改进的叛徒追踪方案。首先，通过使用批处理执行方法，本文提出了一种改进的用户密钥提取算法。然后，本文将其与多位加密系统结合起来，以构建有效的一对多加密方案。此外，提出了一种新颖的投影采样族具有非常小的隐藏常数。最后，通过比较分析表明，该方案的参数，如晶格尺寸，活板门尺寸，密文扩展率等，均在一定程度上降低了计算量。

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