Gretchen L. Matthews
Professor
Department of Mathematical Sciences
Clemson University
gmatthe@clemson.edu
home
Research
Publications
Funding
Activities
CV
I have joined the
Department of Mathematics
at
Virginia Tech
.
www.math.vt.edu/people/gmatthews
gmatthews@vt.edu
Publications
K. Haymaker, B. Malmskog, and G. L. Matthews, Locally repairable codes from fiber products of maximal curves, Advances in the Mathematics of Communications, to appear.
M. Aktas, S. E. Anderson, A. Johnston, G. Joshi, S. Kadhe, G. L. Matthews, C. Mayer, and E. Soljanin, On the Service Capacity Region of Accessing Erasure Coded Content, 2017 55th Annual Allerton Conference on Communication, Control, and Computing, to appear.
A. Barg, K. Haymaker, E. W. Howe, G. L. Matthews, A. Várilly-Alvarado, Locally recoverable codes from algebraic curves and surfaces, IPAM Proceedings, to appear.
Bannister, G. L. Matthews, and A. Simpson, Cracking Her Codes: Understanding Shared Technology Resources as Positioning Artifacts for Power and Status in CSCL Environments, International Journal of Computer-Supported Collaborative Learning 12 (2017), 1556-1607.
S. Gao, F. Knoll, F. Manganellio, and G. L. Matthews, Codes for distributed storage from 3-regular graphs, Discrete Applied Mathematics 229 (2017) no 10, 82-89..
G. L. Matthews, Distance colorings of hypercubes from Z2Z4-linear codes, Discrete Applied Mathematics 217 (2017), no. 2, 356–361.
S. Anderson and G. L. Matthews, Stopping sets of Hermitian codes, IEEE Transactions on Information Theory 62 (2016), no. 11, 6304 - 6314.
W. Kositwattanarerk and G. L. Matthews, Pseudocodewords of Parity-Check Codes Over Fields of Prime Cardinality, IEEE Transactions on Information Theory 60 (2014), no. 9, 5215 – 5227.
S. Anderson and G. L. Matthews, Exponents of polar codes using algebraic geometric code kernels, Designs, Codes and Cryptography 73 (2014), no. 2, 699-717.
G. L. Matthews and J. D. Peachey, Small bias sets from extended norm-trace codes, Contemporary Mathematics 579 (2012), 143-152.
W. Kositwattanarerk and G. L. Matthews, Lifting the fundamental cone and enumerating the pseudocodewords of a parity-check code, IEEE Transactions on Information Theory (Special issue on Facets of Coding Theory: From Algorithms to Networks) 57 (2011), no. 2, 898-909.
N. Drake and G. L. Matthews, Minimum distance decoding of general algebraic geometry codes via lists, IEEE Transactions on Information Theory 56 (2010), no. 9, 4335-4340.
G. L. Matthews and J. D. Peachey, Minimal generating sets of Weierstrass semigroups of certain m-tuples on the norm-trace function field, Contemporary Mathematics 518 (2010), 315-326.
N. Drake and G. L. Matthews, Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes, Designs, Codes, and Cryptography 54 (2010), no. 2, 181-187.
G. L. Matthews, On Weierstrass semigroups of some triples on norm-trace curves, Lecture Notes in Computer Science 5557 (2009),146-156.
G. L. Matthews, Viewing multipoint codes as subcodes of one-point codes, Grobner Bases, Coding, and Cryptography, RISC Book Series (Springer, 2009), 399-402.
G. L. Matthews, Frobenius numbers of generalized Fibonacci semigroups, Combinatorial Number Theory, 117-124, de Gruyter, Berlin, 2009.
R. C. Laskar, G. L. Matthews, B. Novick and J. Villalpando, On irreducible no-hole L(2,1) coloring of trees, Networks 53 (2009), no. 2, 206-211.
J. L. Kim and G. L. Matthews, Quantum error-correcting codes from algebraic curves, in Advances in Algebraic Geometry Codes, Series on Coding Theory and Cryptology (World Scientific, 2008), vol. 5; E. Martinez-Moro, C. Munuera, and D. Ruano, eds.; 419-444.
R. E. Jamison and G. L. Matthews, On the acyclic chromatic number of Hamming graphs, Graphs and Combinatorics 24 (2008), 349-360.
R. E. Jamison and G. L. Matthews, Acyclic colorings of products of cycles, Bulletin of the Institute of Combinatorics and its Applications 54 (2008), 59-76.
G. L. Matthews and R. S. Robinson, A variant of the Frobenius problem and generalized Suzuki semigroups, Combinatorial Number Theory, 363-369, de Gruyter, Berlin, 2007.
R. E. Jamison, G. L. Matthews, and J. Villalpando, Acyclic colorings of products of trees, Information Processing Letters 99 (2006), no. 1, 7-12.
H. Maharaj and G. L. Matthews, On the floor and the ceiling of a divisor, Finite Fields and their Applications 12 (2006), no. 1, 38-55.
M. A. Coleman, N. Drake, and G. L. Matthews, Codes from a quotient of the Hermitian curve attaining the designed distance, Congressus Numerantium 182 (2006), 161-170.
R. E. Jamison and G. L. Matthews, Distance k colorings of Hamming graphs, Congressus Numerantium 183 (2006), 193-202.
G. L. Matthews, Weierstrass semigroups and codes from a quotient of the Hermitian curve, Designs, Codes and Cryptography 37 (2005), no. 3, 473-492.
G. L. Matthews and T. W. Michel, One-point codes using places of higher degree, IEEE Transactions on Information Theory 51 (2005), no. 4, 1590-1593.
G. L. Matthews, On integers nonrepresentable by a generalized arithmetic progression, Topics in Combinatorial Number Theory, DIMITIA ITI 261, 2005, 143-148.
G. L. Matthews, Some computational tools for estimating the parameters of an algebraic geometry code, Contemporary Mathematics 381 (2005), 119-126.
H. Maharaj, G. L. Matthews, and G. Pirsic, Riemann-Roch spaces for the Hermitian curve with applications to algebraic geometry codes and low-discrepancy sequences, Journal of Pure and Applied Algebra 195 (2005), 261-280.
G. L. Matthews, Codes from the Suzuki function field, IEEE Transactions on Information Theory 50 (2004), no. 12, 3298-3302.
G. L. Matthews, On numerical semigroups generated by generalized arithmetic sequences, Communications in Algebra 32 (2004), no. 9, 3459-3469.
G. L. Matthews, The Weierstrass semigroup of an m-tuple of collinear points on a Hermitian curve, Lecture Notes in Computer Science 2948 (2004), 12-24.
D. E. Dobbs and G. L. Matthews, On a question of Wilf concerning numerical semigroups, International Journal of Commutative Rings 2 (2003), no. 4, 195- 204.
G. L. Matthews, On triply-generated telescopic semigroups and chains of semigroups, Congressus Numerantium 154 (2002), 117-123.
D. E. Dobbs and G. L. Matthews, On comparing two chains of numerical semigroups and detecting Arf semigroups, Semigroup Forum 63 (2001), no. 2, 237-246.
G. L. Matthews, Weierstrass pairs and minimum distance of Goppa codes, Designs, Codes and Cryptography 22 (2001), no. 2, 107-121.
Preprints
G. L. Matthews and J. D. Peachey, Weierstrass semigroups from graphs
G. L. Matthews and J. D. Peachey, Compressed sensing matrices from function fields defined by linearized polynomials
Research Interests
Applications of algebraic geometry, especially to coding theory