human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "mds matrices over small fields a proof of the gm mds conjecture"
  Abstract: An MDS matrix is a matrix whose minors all have full rank. A question arising in coding theory is what zero patterns can MDS matrices have. There is a natural combinatorial characterization (called the MDS condition) which is necessary over any field, as well as sufficient over very large fields by a probabilistic argument. #R##N#Dau et al. (ISIT 2014) conjectured that the MDS condition is sufficient over small fields as well, where the construction of the matrix is algebraic instead of probabilistic. This is known as the GM-MDS conjecture. Concretely, if a $k \times n$ zero pattern satisfies the MDS condition, then they conjecture that there exists an MDS matrix with this zero pattern over any field of size $|\mathbb{F}| \ge n+k-1$. In recent years, this conjecture was proven in several special cases. In this work, we resolve the conjecture.

Connected through hyperedge HE-1 (induced by source paper "gabidulin codes with support constrained generator matrices"):
  with members:
    - "generalized reed solomon codes with sparsest and balanced generator matrices"
    - "optimum linear codes with support constraints over small fields"
    - "an algebraic combinatorial proof technique for the gm mds conjecture"
    - "new criteria for mrd and gabidulin codes and some rank metric code constructions"
    - "further generalisations of twisted gabidulin codes"
    - "balanced reed solomon codes"
    - "on the existence of mds codes over small fields with constrained generator matrices"
    - "a rank metric approach to error control in random network coding"

Connected through hyperedge HE-2 (induced by source paper "decentralized pliable index coding"):
  with members:
    - "tight information theoretic converse results for some pliable index coding problems"
    - "capacity theorems for distributed index coding"
    - "the benefit of being flexible in distributed computation"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"
    - "a polynomial time algorithm for pliable index coding"
    - "efficient algorithms for the data exchange problem"
    - "fundamental limits of caching in wireless d2d networks"
    - "coded cooperative data exchange in multihop networks"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.DM(Discrete Mathematics)