@techreport{TR-IC-PFG-24-09,
   number = {IC-PFG-24-09},
   author = {David Afonso Borges dos Santos and Julio López},
   title = {SQISign: A Post-Quantum Signature Scheme},
   month = {July},
   year = {2024},
   institution = {Institute of Computing, University of Campinas},
   note = {In English, 19 pages.
    \par\selectlanguage{english}\textbf{Abstract}
       This  work  is  a study about the post-quantum signature scheme
       SQISign,  one  of  the  candidates  in  the  NIST  Post-Quantum 
       Cryptography  Standardization  contest.  The  SQISign algorithm
       assumes the hardness of finding a path in supersingular isogeny
       graphs  and  uses  the Deuring correspondence to operate in the
       quaternion  algebra  world during signature and in the elliptic
       curves world during verification. Among the other candidates in
       the  same category, SQISign has relatively small public key and
       signature  sizes,  which  is an important advantage. The recent
       SIDH  attacks  showed  new  ways  of  efficiently  representing 
       isogenies. This fact, resulted in some new variants of SQISign,
       now  using 2, 4, and 8-dimension isogenies. Among the available
       variants, we are going to discuss SQISign2D-West and SQISignHD.
  }
}