Research
C. Monico. Cryptanalysis of a hash function, and the modular subset sum problem.
preprint.
C. Monico, M. D. Neusel. Cryptanalysis of a system using matrices over group rings.
Groups, Complexity, Cryptology, 7 (2015), 175182.
C. Monico, M. D. Neusel. Vector invariants of Syl_p(GL(n, F_q)) and their Hilbert ideals.
Advances in Mathematics, 285 (2015), 16191629.
(preprint here).
P. Hadjicostas, C. Monico. A new inequality related to the DiaconisGraham inequalities and a new characterization
of the dihedral group. The Australasian Journal of Combinatorics, 63 (2015), 226245.
C. Monico, Cryptanalysis of a matrixbased MOR system.
Comm. Algebra, 44 (2016), 218227.
(preprint here).
A. Biswas, C. Monico. Limiting value of higher Mahler measure,
J. Number Theory, 143 (2014), 357362.
(preprint here).
P. Hadjicostas, C. Monico. A reexamination of the DiaconisGraham inequality,
JCMCC, 87 (2013), 275295.
C. Monico, M. Elia.
An additive characterization of fibers of characters on F_p^*,
International Journal of Algebra, 4:3 (2010), 109117.
A. Farooqi, R. Gale, S. Reddy, B. Nutter, C. Monico.
Markov source based test length optimized SCANBIST architecture,
10th International
Symposium on Quality Electronic Design (ISQED 2009), pp. 708713. IEEE 2009. .
C.Monico, M. Peterson.
F_2 Lanczos revisited.
Linear Algebra and Its Applications, 428:4 (2008), 11351150.
M. Elia, C. Monico.
On the representation of primes in Q(\sqrt{2}) as sums of squares.
JP Journal of Algebra, Number
Theory and Applications, 8 (2007), 121133.
G. Maze, C. Monico, J. Rosenthal.
Public key cryptography based on semigroup actions.
Advances in Mathematics of Communications, 1 (2007), 489507.
C.Monico, M. Elia.
A note on an additive characterization of quadratic residues.
Journal of Combinatorics, Information & System Sciences,
31 (2006), 209215.
B. Miller, C. Monico.
A construction of arithmetic progressionfree
sequences and its analysis. Sonoran Journal of Graduate Mathematics,
Issue 1, Spring 2005.
C. Monico. On finite congruencesimple semirings.
J. of Algebra 271 (2004), 846854.
(Preprint at:
http://front.math.ucdavis.edu/math.RA/0205083)
E. Byrne, C. Kelley, C. Monico, and J. Rosenthal.
Nonlinear codes for belief propagation.
In Proceedings of the 2003 IEEE International Symposium on Information Theory,
page 43, Yokohama, JAPAN, 2003.
C. Monico. Computing the primary decomposition of zerodimensional
ideals. J. of Symbolic Computation, 34 (2002) 451459.
(The algorithm from this paper has been
implemented in the ``primdec.lib'' library of the computer algebra
package Singular.)
G. Maze, C. Monico, J. Climent and J. Rosenthal.
Publickey cryptography
based on simple modules over simple rings.
Proceedings of MTNS 2002.
G. Maze, C. Monico, J. Rosenthal. A publickey cryptosystem
based on actions by semigroups. In Proceedings of the 2002 IEEE
International Symposium on Information Theory, page 266, Lausanne, Switzerland, 2002.
C. Monico, J. Rosenthal and A. Shokrollahi. Using low density parity check
codes in the McEliece cryptosystem.
Proceedings 2000 IEEE International Symposium on Information
Theory.
Students directed:
Katie Bishop, M.S. (thesis), ``Iteration functions for Pollard's rho method on elliptic curve groups.'' 2016.
Ashley Ray, M.S. (thesis), ``A representation of Chaocipher .'' 2012.
Kristine Seaman, M.S. (thesis), ``Kryptos.'' 2012. (codirected with M. Neusel)
Ernee Kozyreff, M.S. (report), ``Grobner basis and the ideal membership problem.'' 2012.
Bo Gilbert, M.S. (report), ``Properties of happy numbers.'' 2011. (codirected with R. Barnard)
Robert Danhof, M.S. (report), ``A Primer on the elliptic curve method.'' 2011.
Arunabha Biswas, M.S. (report), ``A report on the state of Grimm's conjecture.'' 2010. (codirected with R. Barnard)
Ronnie Williams, M.S. (thesis), ``Cubic polynomials in the number field sieve.'', 2010.
Raymond Dick, M.S. (thesis), ``An additive characterization of quadratic residues in finite fields.'', 2009.
Aftab Farooqi, Ph.D. EE, ``Markov source based test length optimized SCANBIST architecture.'' 2008.
Steven Lawless, M.S. (thesis), ``Superresolution by local function approximation.'' 2007.
Anton Badev, M.S. (report), ``Constructing utility functions in infinitedimensional Banach spaces.'' 2007.
Michael Peterson, M.S. (thesis), ``Parallel block Lanczos for solving large binary systems.'' 2006.
Memet Bulut, M.S. (report), ``An introduction to Schoof's algorithm.'' 2006.
Brian Miller, M.S. (thesis), ``A construction of arithmetic progressionfree sequences.'' 2004.
