Daniel Panario - Students

Present students:

• Farzane Amirzade: post-doc (co-supervision with M. Sadeghi).
• John-Marc Demarais: PhD (School of Computer Science).
• Arthur Fernandes: PhD at the Universidade Federal de Minas Gerais, Brazil (co-supervision with L. Reis).
• Daniel Johnson: PhD.
• Mackenzie Powers: PhD.
• Hugo Teixeira: PhD.
• Gustavo Zambonin: PhD at the Universidade Federal de Santa Catarina, Brazil (co-supervision with R. Custodio and L. Moura)
• Rebekah Schneiderman: Honours Project.
  
  

Past students:

• Alexander Bors: post-doc, 2023.
• Tushar Bag: Fields Institute post-doc, 2022.
• Aleksandr Tuxanidy: post-doc (co-supervision with Q. Wang), 2018.
• Claudio Qureshi: Fields Institute post-doc, 2017.
• Sartaj Ul Hasan: post-doc (co-supervision with Q. Wang), 2012.
• Murat Sahin: post-doc (co-supervision with Q. Wang), 2012.
• Lerna Pehlivan: Fields Institute post-doc, 2010.
• Mohammad Sadeghi: Fields Institute post-doc, 2005.

• Zachary Welch: PhD defended on September 2024 (co-supervision with C. Ingalls). Title: ``A collection of new algorithms in post-quantum cryptography''.
• Lucas Perin: PhD defended on September 2021 (co-supervision with R. Custodio) at the Universidade Federal de Santa Catarina, Brazil. Title: ``Message encoding algorithms for Winternitz signatures''.
• Jose Neto: PhD defended on January 2019 (co-supervision with J. Bandeira Lima) at the Universidade Federal de Pernambuco, Brazil. Title: ``Construcao de autovetores de transformadas discretas de Fourier: novos metodos e aplicacoes''.
• Lucas Reis: PhD defended on July 2018 (co-supervision with F. Brochero) at the Universidade Federal de Minas Gerais, Brazil. Title: ``Contemporary topics in finite fields: existence, characterization, construction and enumeration problems''.
• Georgios Tzanakis: PhD defended on April 2017. Title: ``Covering arrays from maximal sequences over finite fields''.
• Rodrigo dos Santos Veloso Martins: PhD defended on February 2016 (co-supervision with J. Szwarcfiter and L. Menasche) at the Universidade Federal de Rio de Janeiro (Brazil). Title: ``Random mappings and polynomials over finite fields''.
• Claudio Qureshi: PhD defended on August 2015 (co-supervision with Sueli Costa) at the Universidade Estadual de Campinas (Brazil). Title: ``Perfect codes in the Lee and Chebyshev metrics and iterating Redei functions over finite fields''.
• Jing (Jane) He: PhD defended on September 2013 (co-supervision with Q. Wang). Title: ``Interleaved sequences over finite fields''.
• David Laferriere: PhD defended on November 2012 (co-supervision with Z. Gao). Title: ``Asymptotic analysis of generating functions of alg-log type''.
• David Thomson: PhD defended on November 2012. Title: ``On difference maps and their cryptographic applications''.
• Amin Sakzad, PhD defended on June 2011 (co-supervision with M. Sadeghi) at Amirkabir University of Technology (Tehran, Iran). Title: ``Turbo lattices: constructions and performance analysis''.
• Behzad Omidi Koma, PhD, defended on September 2010. Title: ``The number of irreducible polynomials over a finite field with prescribed coefficients''.
• Juliano Bandeira Lima: PhD, defended on September 2008 (co-supervision with R. M. Campello de Souza) at the Universidade Federal de Pernambuco (UFPE, Brazil). Title: ``Finite Field Trigonometry: New Definitions and Application Scenarios" (in Portuguese).
• Li Dong: PhD, defended on December 2007 (co-supervision with Z. Gao). Title: ``Decomposable combinatorial structures with restricted patterns''.
• Ariane Masuda: PhD, defended on September 2006. Title: ``Polynomials over finite fields: relationships with integers, and permutation polynomials''.
• Mohammad Sadeghi: PhD, defended on December 2003 (co-supervision with J. Dixon). Title: ``Low density parity check lattices''.
• Theodoulos Garefalakis: PhD, defended on September 2000 (co-supervision with A. Borodin) at the Department of Computer Science of the University of Toronto. Title: ``On the discrete logarithm problem in finite fields and on elliptic curves''.

• Toma Diaconescu-Grabari: MSc, defended on July 2024. Title: ``BUFF Transform for Isogeny-Based SQISign Digital Signature''.
• Dunia Marchiori: MSc, defended on November 2022 at the Universidade Federal de Santa Catarina, Brazil (co-supervision with R. Custodio). Title: ``Root finding in code-based cryptography''.
• Trevor Thompson: MSc, defended on January 2022 (co-supervision with Q. Wang). Title: ''Cycle lengths of finite cyclotomic mappings''.
• Gustavo Zambonin: MSc, defended on September 2020 at the Universidade Federal de Santa Catarina, Brazil (co-supervision with R. Custodio). Title: ''On the randomness of Rainbow signatures''.
• John-Marc Demarais: MSc, defended on August 2020. Title: ``Error correcting codes in post-quantum cryptography''.
• Kirsten Nelson: MSc, defended on August 2018 (co-supervision with B. Stevens). Title: ''Properties of interleaved sequences created from m-sequences''.
• Kaitlyn Chubb: MSc, defended on April 2018 (co-supervision with Q. Wang). Title: ``Fixed points of rational functions satisfying the Carlitz property''.
• Lucas Perin: MSc, defended on March 2016 (co-supervision with R. Custodio) at Universidade Federal de Santa Catarina, Brazil. Title: ''Formulas for p-th roots in finite fields of characteristic p''.
• Gustavo Banegas: MSc, defended on August 2015 (co-supervision with R. Custodio) at Universidade Federal de Santa Catarina, Brazil. Title: ``Pentanomios irredutiveis sobre GF(2^m) para reducao modular eficiente''.
• David Marquis: MSc, defended on January 2015. Title: ``Deterministic factorization of polynomials over finite fields".
• Andrew Macfie: MSc, defended on April 2014. Title: ``Software for combinatorial power series''.
• Georgios Tzanakis: MSc, defended on July 2010. Title: ``On the existence of irreducible polynomials with prescribed coefficients over finite fields''.
• Karin Arikushi: MSc, defended on September 2008 (co-supervision with Q. Wang). Title: ``Almost perfect nonlinear functions''.
• David Thomson: MSc, defended on August 2007. Title: ``Low complexity normal bases''.
• Vinay Kumar: MSc, defended on August 2006. Title: ``Coding encrypted messages into music''.
• Stephen Savard, MSc, defended on January 2003. Title: ``The average complexity of the Euclidean algorithm and hyperelliptic cryptography''.
• Manal Almasri: MSc (ISS), defended on May 2001. Title: ``On Chor-Rivest knapsack type public key cryptosystem''.
• Alex Hope: MSc (no thesis).
• Ali Al-Bashabsheh, MSc (no thesis).
• Adrian Moscher, MSc (no thesis).
• Omar Rouston, MSc (no thesis).

• Trevor Thompson: undergraduate NSERC award, May-August 2018 (co-supervision with Q. Wang).
• Andrew Macfie: NSERC Undergraduate Research, May-August 2012 (co-supervision with Z. Gao).
• Andrew Macfie: Summer Undergraduate Research, May-August 2011 (co-supervision with Z. Gao).
• Olga Sosnovski: NSERC Undergraduate Research Award, May-August 2009.
• Joshua Hefler: Summer Undergraduate Research, May-August 2008 (co-supervision with Q. Wang).
• David Thomson: NSERC Undergraduate Research Award, May-August 2005 and May-August 2006.
• Michael Dewar: NSERC Undergraduate Research Award, May-August 2002 and May-August 2003.
• Atefeh Mashatan: NSERC Undergraduate Research Award, May-August 2002.
• Ben Young: NSERC Undergraduate Research Award, May-August 2001.
• Timothy Miller: Summer undergraduate student, May-August 2018.
• Joseph Lentini: Summer undergraduate student, May-August 2016 (co-supervision with Q. Wang).
• Trevor Thompson: Summer undergraduate student, May-August 2016 (co-supervision with Q. Wang).

• Lisa Brown: Honours Project, finished July 2024. Title: ``Attacking McEliece: Jacques Stern's Information Set Decoding Algorithm''.
• Morganna Hinds: Honours Project, finished April 2024 (co-supervision with F. Amirzade). Title: ``Constructing LDPC (Low-Density Parity-Check) Codes''.
• James Russell: Honours Project, finished April 2024. Title: ``Graphical insights into Pollard rho: exploring iterations on finite fields''.
• Filipe Borba: TCC (Honours Project), finished March 2022 at the Universidade Federal de Santa Catarina, Brazil. Title: "An IND-CCA rank metric encryption scheme implementation".
  
• Dana Nickerson: Honours Project, finished April 2020. Title: "Collision detection and Pollard's rho algorithm for the discrete logarithm problem".
  
• Joseph Lentini: Honours Project, finished July 2019. Title: ``Coding for Multiple User Access Channels''.
  
• Melissa Scott: Honours Project, finished May 2019. Title: ``Factoring polynomials over finite fields''.
  
• Trevor Thompson (co-supervision with Q. Wang): Honours Project, finished May 2019. Title: ``Semi-involutions over finite fields''.
• Timothy Miller: Honours Project, finished April 2018. Title: ``A survey on m-ary integer partitions''.
• Ramatu Yusuf: Honours Project, finished August 2017. Title: ``Codes under the Lee metric''.
• Andrew MacFie: Honours Project, finished April 2012. Title: ``Software for enumerative and analytic combinatorics''.
• Karli Speevak-Sladowski: Honours Project, finished May 2011. Title: ``Catalan numbers and their applications''.
• Brandon Hanson: Honours Project, finished May 2009. Title: ``Reducibility of pentanomials over F_2''.
• Olga Sosnovski: Honours Project, finished May 2009. Title: ``Divisibility of polynomials over finite fields and combinatorial applications''.
• James Short: Honours Project, finished April 2008. Title: ``Factoring Carmichael numbers''.
• David Thomson: Honours Project, finished May 2006. Title: ``Binary irreducible polynomials''.
• Adrian Moscher: Honours Project, finished April 2005. Title: ``A survey of synchronizable codes''.
• Michael Dewar: Honours Project, finished January 2004. Title: ``A survey concerning the number and sizes of components of combinatorial structures''.
• Tham Cao: Honours Project, finished April 2003. Title: ``Convolutional codes''.
• Thadshayini Sathyamoorthy: Honours Project, finished April 2003. Title: ``Burst error-correcting codes''.
• Avy Wong: Honours Project, finished December 2002. Title: ``Electronic mail security''.
• Atefeh Mashatan: Honours Project, finished September 2002. Title: ``Singularity analysis of generating functions''.
• Huanhuan Zhang: Honours Project, finished September 2002. Title: ``Digital signatures''.
• Pragalathan Selvaratnam: Honours Project, finished May 2002. Title: ``Message authentication and hash functions''.
• Gerald Boamah: Honours Project, finished September 2001. Title: ``On the Powerline cryptosystem''.
• Stephen Savard: Honours Project, finished May 2001. Title: ``Efficient implementation of elliptic curve cryptography in F_p and F_2^n''.
• Ben Young: Honours Project, finished May 2001. Title: ``Gauss periods in finite fields''.