Bit-sliced Algorithm for the 512-point Number Theoretic Transform

Authors

  • Illia Kripaka Institute of Physics and Technology, National Technical University of Ukraine ``Igor Sikorsky Kyiv Polytechnic Institute'', Ukraine
  • Andrii Fesenko Institute of Physics and Technology, National Technical University of Ukraine ``Igor Sikorsky Kyiv Polytechnic Institute'', Ukraine https://orcid.org/0000-0002-4489-3256

DOI:

https://doi.org/10.20535/tacs.2664-29132025.2.343116

Abstract

A method for computing the 512-digit number theoretic transform used in the Vershyna digital signature scheme, employing bitwise digit operations, is proposed. The correctness of the developed algorithm and its efficient constant-time performance have been proven.
The obtained results indicate that the proposed approach is adaptive and can be applied to computations with other polynomials. This enables its easy integration into various cryptosystems to ensure protection against side-channel attacks. The proposed method does not require changes to the digital signature scheme itself, introducing modifications only to the polynomial multiplication function.

Downloads

Published

2025-11-17

Issue

Vol. 7 No. 2 (2025): Theoretical and Applied Cybersecurity

Section

Theoretical and cryptographic problems of cybersecurity

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).