Henry Chimal-Dzul
Visiting Assistant Professor
Education
BMath, Autonomous University of Yucatan, 2007
M.Sc. Math, Metropolitan Autonomous University, 2013
M.Sc. Math, Metropolitan Autonomous University, 2013
Ph.D., Ohio University, 2021
Research Groups
Algebra and Algebraic Geometry, Discrete Math, Operations Research, and Probability
Research Area
Coding Theory/Cryptography/Algebra
Bio
Research Interests
My research interests include theoretical and applied aspects of coding theory and cryptography as well as topics in algebra, ring theory, module theory and computational algebra.
My current research focuses on investigating algebraic properties and parameters of quasi-cyclic codes. Special emphasis is devoted to the subfamilies of quasi-cyclic low density parity check codes (QC-LDPC codes) and quasi-cyclic moderate density parity check codes (QC-MDPC codes), where my focus is to discover novel algebraic constructions, decoding algorithms, lower minimum distance bounds and their impact in Code-based cryptography. QC-LDPC codes represent the current state of the art in error-correction, while QC-MDPC codes lie in the heart of the code-based cryptosystems BIKE and HQC, which are finalists in the NIST Post-Quantum Cryptography Standardization. In addition to these topics, I am also interested on Symbolic Computation, I am a member of the group that is developing a Coding Theory package for Macaulay2. I am also developing MAGMA code for classical topics in Coding Theory.
Publications:
- (With N. Gassner, J. Rosenthal and R. Schnyder) Efficient Description of some Classes of Codes using Group Algebras, IFAC-PapersOnLine, Vol 55, No 30, 2022.
- (With J. Lieb and J. Rosenthal) Generator Matrices of Quasi-cyclic Codes over Extension Fields Obtained from Gröbner Basis, IFAC-PapersOnLine, Vol 55, No 30, 2022.
- Commutative Polynomial Rings wich are Principal Ideal Rings, Algebra and Related Topics with Applications. ICARTA 2019.
Email: hchimald@nd.edu
Phone: 574-631-9662
Office: 226 Hayes-Healy Bldg
Mailing Address:
255 Hurley Bldg
Notre Dame, IN 46556-4618