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Aaron Kaiser
2023-05-25 09:12:14 +02:00
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thesis/sections/introduction.tex
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\section{Introduction}
The EdDSA signature scheme was first introduced in 2011 by Bernstein, Duif, Lange, Schwabe and Yang, instantiated as Ed25519 using the Edwards25519 twisted Edwards curve, in the paper "High-speed high-security signatures" \cite{CHES:BDLSY11}. In 2015 Bernstein et. al. published the paper "EdDSA fore more curves", which introduced a more general version the EdDSA signature scheme \cite{EPRINT:BJLSY15}. Due to its high performance and small signature size, the EdDSA signature scheme is very popular and widely used in applications such as TLS, SSH and the Signal protocol. From these papers came standards such as RFC 8032 \cite{josefsson_edwards-curve_2017} and FIPS 186-5 \cite{moody_digital_2023}.
The EdDSA signature scheme was first introduced in 2011 by Bernstein, Duif, Lange, Schwabe and Yang, instantiated as Ed25519 using the Edwards25519 twisted Edwards curve \cite{CHES:BDLSY11}. In 2015 Bernstein et. al. published a new paper, which introduced a more general version the EdDSA signature scheme \cite{EPRINT:BJLSY15}. Due to its high performance and small signature size, the EdDSA signature scheme is very popular and widely used in applications such as TLS, SSH and the Signal protocol. From these papers came standards such as RFC 8032 \cite{josefsson_edwards-curve_2017} and FIPS 186-5 \cite{moody_digital_2023}.
The original paper focused on the performance of the signature scheme and did not provide a formal security analysis of the signature scheme. The EdDSA signature scheme is closely related to the Schnorr signature scheme. Although EdDSA is related to the Schnorr signature scheme, it contains some modifications that make the security proof of the Schnorr signature scheme inapplicable to EdDSA. Schnorr signature schemes are derived from a canonical identification scheme to which the Fiat-Schamir transformation is applied.