Square root computation in finite fields

Ebru Adiguzel-Goktas*, Enver Ozdemir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, we present a review of three widely-used practical square root algorithms. We then describe a unifying framework where each of these well-known algorithms can be seen as a special case of it. The framework with singular curves offers a broad perspective to compare and further improve the existing methods in addition to offering a new avenue for square root computation algorithms in finite fields.

Original languageEnglish
JournalDesigns, Codes, and Cryptography
Publication statusAccepted/In press - 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.


  • 68Q99
  • Elliptic curves
  • Primary 11Y99
  • Singular curves
  • Square roots


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