A post-quantum key exchange protocol from the intersection of conics

IF 0.6 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Symbolic Computation Pub Date : 2024-06-14 DOI:10.1016/j.jsc.2024.102343

Alberto Alzati , Daniele Di Tullio, Manoj Gyawali, Alfonso Tortora

引用次数: 0

Abstract

In this paper we present a key exchange protocol in which Alice and Bob have secret keys given by two conics embedded in a large ambient space by means of the Veronese embedding and public keys given by hyperplanes containing the embedded curves. Both of them construct some common invariants given by the intersection of two conics.

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来自圆锥交点的后量子密钥交换协议

在本文中，我们提出了一种密钥交换协议，其中爱丽丝和鲍勃的密钥由通过维罗内嵌入（Veronese embedding）嵌入大环境空间的两个圆锥曲线给出，公钥由包含嵌入曲线的超平面给出。他们都通过两个圆锥的交点来构造一些共同的不变式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Symbolic Computation 工程技术-计算机：理论方法

CiteScore

2.10

自引率

14.30%

发文量

审稿时长

142 days

期刊介绍： An international journal, the Journal of Symbolic Computation, founded by Bruno Buchberger in 1985, is directed to mathematicians and computer scientists who have a particular interest in symbolic computation. The journal provides a forum for research in the algorithmic treatment of all types of symbolic objects: objects in formal languages (terms, formulas, programs); algebraic objects (elements in basic number domains, polynomials, residue classes, etc.); and geometrical objects. It is the explicit goal of the journal to promote the integration of symbolic computation by establishing one common avenue of communication for researchers working in the different subareas. It is also important that the algorithmic achievements of these areas should be made available to the human problem-solver in integrated software systems for symbolic computation. To help this integration, the journal publishes invited tutorial surveys as well as Applications Letters and System Descriptions.