Daniel Panario - Students

Present students:

• Sartaj Ul Hasan: post-doc (co-supervision with Steven Wang)
• Murat Sahin: post-doc (co-supervision with Steven Wang)
• Jing (Jane) He: PhD (co-supervision with Steven Wang)
• David Laferriere: PhD (co-supervision with Jason Gao)
• David Thomson: PhD
• Georgios Tzanakis: PhD
• Andrew Macfie: undergraduate student (co-supervision with Jason Gao)

Past students:

• Lerna Pehlivan: Fields Institute post-doc, 2010.
• Mohammad Sadeghi: Fields Institute post-doc, 2005.

• Amin Sakzad, PhD defended on June 2011 (co-supervision with Mohammad 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 Jason 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''.

• Georgios Tzanakis: MSc, defended July 2010. Title: ``On the existence of irreducible polynomials with prescribed coefficients over finite fields''.
• Karin Arikushi: MSc, defended September 2008 (co-supervision with Q. Wang). Title: ``Almost perfect nonlinear functions''.
• David Thomson: MSc, defended August 2007. Title: ``Low complexity normal bases''.
• Vinay Kumar: MSc, defended August 2006. Title: ``Coding encrypted messages into music''.
• Stephen Savard, MSc, defended 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''.
• Ali Al-Bashabsheh, MSc (no thesis)
• Adrian Moscher, MSc (no thesis).
• Omar Rouston, MSc (no thesis)

• Andrew Macfie: NSERC Undergraduate Research, May-August 2011 (co-supervision with Z. Gao).
• Andrew Macfie: Summer Undergraduate Research, May-August 2010 (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.

• 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: Honour Project, finished September 2002. Title: ``Singularity analysis of generating functions''.
• Huanhuan Zhang: Honour 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''.