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商品描述
The book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic functions. Specific topics covered are the strongest known inapproximability result for the shortest vector problem; the relations between this and other computational lattice problems; an exposition of how cryptographic functions can be built and prove secure based on worst-case hardness assumptions about lattice problems; and a study of the limits of non-approximability of lattice problems. Some background in complexity theory, but no prior knowledge about lattices, is assumed.
商品描述(中文翻譯)
本書提供了對格問題複雜性最前沿的自成一體的概述,特別強調與加密函數構造相關的問題。涵蓋的具體主題包括:最短向量問題的已知最強不可近似性結果;這一問題與其他計算格問題之間的關係;如何基於對格問題的最壞情況困難假設來構建和證明安全的加密函數的闡述;以及對格問題不可近似性限制的研究。假設讀者具備一些複雜性理論的背景,但不需要對格的先前知識。
