Dual universality of hash functions and its applications to quantum cryptography

Toyohiro TSURUMARU; Masahito HAYASHI

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Dual universality of hash functions and its applications to quantum cryptography

机译：Dual universality of hash functions and its applications to quantum cryptography

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摘要

In this paper, we introduce the concept of dual universality of hash functions and present its applications to various quantum and classical communication models including cryptography. We begin by establishing the one-to-one correspondence between a linear function family F and a code family C, and thereby defining ε-almost dual universal_2 hash functions, as a generalization of the conventional universal_2 hash functions. Then we give a security proof for the Bennett-Brassard 1984 protocol, where the Shor-Preskill-type argument is used, but nevertheless ε-almost dual universal_2 functions can be used for privacy amplification.

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《電子情報通信学会技術研究報告. ワイドバンドシステム. Wide Band Systems》 |2010年第444期|295-302|共8页
作者
Toyohiro TSURUMARU; Masahito HAYASHI;
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作者单位

Mitsubishi Electric Corporation, Information Technology R&D Center;

Graduate School of Information Sciences, Tohoku University, Centre for Quantum Technologies, National University of Singapore;

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正文语种英语
中图分类通信;
关键词
Quantum key distribution; Hash function; Privacy amplification; Dual code;

Dual universality of hash functions and its applications to quantum cryptography

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