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The Insecurity of the Digital Signature Algorithm with Partially Known Nonces

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Part of the book series: Progress in Computer Science and Applied Logic ((PCS,volume 22))

Abstract

Here we present the polynomial-time algorithm of [417] which recovers theprivate keyof the signer if a small portion of bits of the so-callednoncein the Digital Signature Algorithm modulo a primepis known forEquationSource$$ \[{\rm O}\left( {{{\log }^{1/2}}p} \right)\] $$signatures.

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© 2003 Springer Basel AG

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Shparlinski, I. (2003). The Insecurity of the Digital Signature Algorithm with Partially Known Nonces. In: Shparlinski, I. (eds) Cryptographic Applications of Analytic Number Theory. Progress in Computer Science and Applied Logic, vol 22. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8037-4_17

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  • DOI: https://doi.org/10.1007/978-3-0348-8037-4_17

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9415-9

  • Online ISBN: 978-3-0348-8037-4

  • eBook Packages: Springer Book Archive

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