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: "maximally recoverable lrcs a field size lower bound and constructions for few heavy parities"
  Abstract: The explosion in the volumes of data being stored online has resulted in distributed storage systems transitioning to erasure coding based schemes. Local Reconstruction Codes (LRCs) have emerged as the codes of choice for these applications. These codes can correct a small number of erasures by accessing only a small number of remaining coordinates. An $(n,r,h,a,q)$-LRC is a linear code over $\mathbb{F}_q$ of length $n$, whose codeword symbols are partitioned into $g=n/r$ local groups each of size $r$. It has $h$ global parity checks and each local group has $a$ local parity checks. Such an LRC is Maximally Recoverable (MR), if it corrects all erasure patterns which are information-theoretically correctable under the stipulated structure of local and global parity checks. #R##N#We show the first non-trivial lower bounds on the field size required for MR LRCs. When $a,h$ are constant and the number of local groups $g \ge h$, while $r$ may grow with $n$, our lower bound simplifies to $q\ge \Omega_{a,h}\left(n\cdot r^{\min\{a,h-2\}}\right).$ No superlinear (in $n$) lower bounds were known prior to this work for any setting of parameters. #R##N#MR LRCs deployed in practice have a small number of global parities, typically $h=2,3$. We complement our lower bounds by giving constructions with small field size for $h\le 3$. For $h=2$, we give a linear field size construction. We also show a surprising application of elliptic curves and arithmetic progression free sets in the construction of MR LRCs.

Connected through hyperedge HE-1 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies"):
  with members:
    - "on maximally recoverable codes for product topologies"
    - "maximally recoverable codes for grid like topologies"
    - "binary codes with locality for multiple erasures having short block length"
    - "optimal binary locally repairable codes via anticodes"
    - "binary linear locally repairable codes"
    - "locally recoverable codes on algebraic curves"
    - "repair locality with multiple erasure tolerance"
    - "codes with locality for two erasures"

Connected through hyperedge HE-2 (induced by source paper "uniform minors in maximally recoverable codes"):
  with members:
    - "matroid theory and storage codes bounds and constructions"
    - "weight enumerators and higher support weights of maximally recoverable codes"
    - "a family of optimal locally recoverable codes"
    - "explicit maximally recoverable codes with locality"
    - "locally repairable codes"
    - "on the locality of codeword symbols"

Connected through hyperedge HE-3 (induced by source paper "extended integrated interleaved codes over any field with applications to locally recoverable codes"):
  with members:
    - "combinatorial alphabet dependent bounds for locally recoverable codes"
    - "optimal lrc codes for all lenghts n q"
    - "optimal locally repairable codes of distance 3 and 4 via cyclic codes"
    - "erasure coding for distributed storage an overview"
    - "bounds and constructions for linear locally repairable codes over binary fields"
    - "optimal binary linear locally repairable codes with disjoint repair groups"
    - "extended product and integrated interleaved codes"
    - "multi block interleaved codes for local and global read access"

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)