NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
A Total Break of the Scrap Digital Signature Scheme
Published
Author(s)
Daniel Smith-Tone
Abstract
Recently a completely new post-quantum digital signature scheme was proposed using the so called ''scrap automorphisms''. The structure is inherently multivariate, but differs significantly from most of the multivariate literature in that it relies on sparsity and rings containing zero divisors. In this article, we derive a complete and total break of Scrap, performing a key recovery in not much more time than verifying a signature. We also generalize the result, breaking unrealistic instances of the scheme for which there is no particularly efficient signing algorithm and key sizes are unmanageable.
Smith-Tone, D.
(2023),
A Total Break of the Scrap Digital Signature Scheme, Cryptology Eprint Archive, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=956292, https://ia.cr/2023/1481
(Accessed October 9, 2025)