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: "a complete classification of partial mds maximally recoverable codes with one global parity"
  Abstract: Partial-MDS (PMDS) codes are a family of locally repairable codes, mainly used for distributed storage. They are defined to be able to correct any pattern of $s$ additional erasures, after a given number of erasures per locality group have occurred. This makes them also maximally recoverable (MR) codes, another class of locally repairable codes. It is known that MR codes in general, and PMDS codes in particular, exist for any set of parameters, if the field size is large enough. Moreover, some explicit constructions of PMDS codes are known, mostly (but not always) with a strong restriction on the number of erasures that can be corrected per locality group. In this paper we generalize the notion of PMDS codes to allow locality groups of different sizes. We give a general construction of such PMDS codes with $s=1$ global parity, i.e., one additional erasure can be corrected. Furthermore, we show that all PMDS codes for the given parameters are of this form, i.e., we give a classification of these codes. This implies a necessary and sufficient condition on the underlying field size for the existence of these codes (assuming that the MDS conjecture is true). For some parameter sets our generalized construction gives rise to PMDS codes with a smaller field size than any other known construction.

Connected through hyperedge HE-1 (induced by source paper "on error decoding of locally repairable and partial mds codes"):
  with members:
    - "on decoding and applications of interleaved goppa codes"
    - "universal and dynamic locally repairable codes with maximal recoverability via sum rank codes"
    - "improved power decoding of interleaved one point hermitian codes"
    - "a public key cryptosystem from interleaved goppa codes"
    - "list decoding of locally repairable codes"
    - "fractional decoding error correction from partial information"
    - "decoding of interleaved reed solomon codes using improved power decoding"
    - "maximally recoverable codes for grid like topologies"

Connected through hyperedge HE-2 (induced by source paper "random construction of partial mds codes"):
  with members:
    - "constructions of maximally recoverable local reconstruction codes via function fields"
    - "on the genericity of maximum rank distance and gabidulin codes"
    - "new criteria for mrd and gabidulin codes and some rank metric code constructions"
    - "explicit maximally recoverable codes with locality"
    - "partial mds codes and their application to raid type of architectures"

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.IT(Information Theory)