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: "repair optimal erasure codes through hadamard designs"
  Abstract: In distributed storage systems that employ erasure coding, the issue of minimizing the total {\it communication} required to exactly rebuild a storage node after a failure arises. This repair bandwidth depends on the structure of the storage code and the repair strategies used to restore the lost data. Designing high-rate maximum-distance separable (MDS) codes that achieve the optimum repair communication has been a well-known open problem. In this work, we use Hadamard matrices to construct the first explicit 2-parity MDS storage code with optimal repair properties for all single node failures, including the parities. Our construction relies on a novel method of achieving perfect interference alignment over finite fields with a finite file size, or number of extensions. We generalize this construction to design $m$-parity MDS codes that achieve the optimum repair communication for single systematic node failures and show that there is an interesting connection between our $m$-parity codes and the systematic-repair optimal permutation-matrix based codes of Tamo {\it et al.} \cite{Tamo} and Cadambe {\it et al.} \cite{PermCodes_ISIT, PermCodes}.

Connected through hyperedge HE-1 (induced by source paper "convertible codes efficient conversion of coded data in distributed storage"):
  with members:
    - "an exponential lower bound on the sub packetization of msr codes"
    - "combinatorial alphabet dependent bounds for locally recoverable codes"
    - "capacity of locally recoverable codes"
    - "a layered architecture for erasure coded consistent distributed storage"
    - "product matrix msr codes with bandwidth adaptive exact repair"
    - "bandwidth adaptive error resilient mbr exact repair regenerating codes"
    - "the storage vs repair bandwidth trade off for multiple failures in clustered storage networks"
    - "locally recoverable codes from algebraic curves and surfaces"

Connected through hyperedge HE-2 (induced by source paper "cascade codes for distributed storage systems"):
  with members:
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "determinant codes with helper independent repair for single and multiple failures"
    - "a class of msr codes for clustered distributed storage"
    - "product matrix msr codes with bandwidth adaptive exact repair"
    - "bandwidth adaptive error resilient mbr exact repair regenerating codes"
    - "a tight lower bound on the sub packetization level of optimal access msr and mds codes"
    - "capacity of clustered distributed storage"
    - "progress on high rate msr codes enabling arbitrary number of helper nodes"

Connected through hyperedge HE-3 (induced by source paper "private information retrieval from mds array codes with near optimal repair bandwidth"):
  with members:
    - "a new capacity achieving private information retrieval scheme with almost optimal file length for coded servers"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "on sub packetization and access number of capacity achieving pir schemes for mds coded non colluding servers"
    - "mds code constructions with small sub packetization and near optimal repair bandwidth"
    - "bandwidth adaptive error resilient mbr exact repair regenerating codes"

Connected through hyperedge HE-4 (induced by source paper "an exponential lower bound on the sub packetization of msr codes"):
  with members:
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "mds code constructions with small sub packetization and near optimal repair bandwidth"
    - "a tight lower bound on the sub packetization level of optimal access msr and mds codes"
    - "minimum storage regenerating codes for all parameters"
    - "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "improved upper bounds on systematic length for linear minimum storage regenerating codes"

Connected through hyperedge HE-5 (induced by source paper "on epsilon mscr codes for two erasures"):
  with members:
    - "cooperative repair constructions of optimal mds codes for all admissible parameters"
    - "scalar mscr codes via the product matrix construction"
    - "mds code constructions with small sub packetization and near optimal repair bandwidth"
    - "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "cooperative repair of multiple node failures in distributed storage systems"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "zigzag codes mds array codes with optimal rebuilding"

Connected through hyperedge HE-6 (induced by source paper "a systematic construction of mds codes with small sub packetization level and near optimal repair bandwidth"):
  with members:
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "minimum storage regenerating codes for all parameters"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "optimal exact repair strategy for the parity nodes of the k 2 k zigzag code"
    - "a framework of constructions of minimal storage regenerating codes with the optimal access update property"
    - "zigzag codes mds array codes with optimal rebuilding"
    - "an improved sub packetization bound for minimum storage regenerating codes"

Connected through hyperedge HE-7 (induced by source paper "erasure codes for distributed storage tight bounds and matching constructions"):
  with members:
    - "explicit msr codes with optimal access optimal sub packetization and small field size for d k 1 k 2 k 3"
    - "a tight rate bound and a matching construction for locally recoverable codes with sequential recovery from any number of multiple erasures"
    - "optimal lrc codes for all lenghts n q"
    - "optimal locally repairable codes of distance 3 and 4 via cyclic codes"
    - "on optimal ternary locally repairable codes"
    - "liquid cloud storage"
    - "rate optimal binary linear locally repairable codes with small availability"
    - "bounds and constructions of codes with all symbol locality and availability"

Connected through hyperedge HE-8 (induced by source paper "speeding up distributed machine learning using codes"):
  with members:
    - "a pliable index coding approach to data shuffling"
    - "coded computation over heterogeneous clusters"
    - "short dot computing large linear transforms distributedly using coded short dot products"
    - "minimizing latency for secure distributed computing"
    - "a fundamental tradeoff between computation and communication in distributed computing"
    - "a unified coding framework for distributed computing with straggling servers"
    - "on the worst case communication overhead for distributed data shuffling"
    - "information theoretic limits of data shuffling for distributed learning"

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)