B.S., University of Bucharest, Bucharest, 1996
M.S., University of Notre Dame, 1997
Ph.D., University of Notre Dame, 2001
Algebra and Algebraic Geometry, Discrete Math, Operations Research, and Probability
Algebra/Applied Algebra/Coding Theory
My research area is applied (discrete) mathematics. I work on error control coding theory, in particular on algebraic and combinatorial problems that occur when constructing or analyzing codes for reliable transmission (or storage) of information over some noisy channel.
A. G. Dimakis, R. Smarandache and P. O. Vontobel, “LDPC Codes for Compressed Sensing”, in IEEE Trans. Inform. Theory, Volume 58, Issue 5 (2012), 3093–3114. Online at http://arxiv.org/abs/1012.0602.
R. Smarandache and P. O. Vontobel, “Quasi-Cyclic LDPC Codes: Influence of Proto- and Tanner-Graph Structure on Minimum Hamming Distance Upper Bounds”, IEEE Trans. Inform. Theory. Volume 58, Issue 2 (2012), 585-607. Online at http://arxiv.org/abs/0901.4129.
V. Tomas, J. Rosenthal and R. Smarandache, “Decoding of Convolutional Codes over the Erasure Channel”, IEEE Trans. Inform. Theory, Volume 58, Issue 1 (2012), 90-108. Online at http://arxiv.org/abs/1006.3156.
A. E. Pusane, R. Smarandache, P. O. Vontobel and D. J. Costello, Jr., “Deriving Good LDPC Convolutional Codes from LDPC Block Codes”, IEEE Trans. Inf. Theory, Volume 57, Issue 2 (2011), 835–857.
R. Smarandache, A. Pusane, P. O. Vontobel and D. J. Costello, Jr., “Pseudo-Codeword Performance Analysis for LDPC Convolutional Codes”, IEEE Trans. Inf. Theory, Volume 55, Issue 6 (2009), 2577–2598.