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: "an improved sub packetization bound for minimum storage regenerating codes"
  Abstract: Distributed storage systems employ codes to provide resilience to failure of multiple storage disks. Specifically, an $(n, k)$ MDS code stores $k$ symbols in $n$ disks such that the overall system is tolerant to a failure of up to $n-k$ disks. However, access to at least $k$ disks is still required to repair a single erasure. To reduce repair bandwidth, array codes are used where the stored symbols or packets are vectors of length $\ell$. MDS array codes have the potential to repair a single erasure using a fraction $1/(n-k)$ of data stored in the remaining disks. We introduce new methods of analysis which capitalize on the translation of the storage system problem into a geometric problem on a set of operators and subspaces. In particular, we ask the following question: for a given $(n, k)$, what is the minimum vector-length or sub-packetization factor $\ell$ required to achieve this optimal fraction? For \emph{exact recovery} of systematic disks in an MDS code of low redundancy, i.e. $k/n > 1/2$, the best known explicit codes \cite{WTB12} have a sub-packetization factor $\ell$ which is exponential in $k$. It has been conjectured \cite{TWB12} that for a fixed number of parity nodes, it is in fact necessary for $\ell$ to be exponential in $k$. In this paper, we provide a new log-squared converse bound on $k$ for a given $\ell$, and prove that $k \le 2\log_2\ell\left(\log_{\delta}\ell+1\right)$, for an arbitrary number of parity nodes $r = n-k$, where $\delta = r/(r-1)$.

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 "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-3 (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-4 (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"
    - "distributed storage codes with repair by transfer and nonachievability of interior points on the storage bandwidth tradeoff"

Connected through hyperedge HE-5 (induced by source paper "near optimal repair of reed solomon codes with low sub packetization"):
  with members:
    - "an exponential lower bound on the sub packetization of msr codes"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing reed solomon codes with multiple erasures"
    - "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 optimal access mds codes with nearly optimal sub packetization"
    - "repairing reed solomon codes"
    - "a repair framework for scalar mds codes"

Connected through hyperedge HE-6 (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-7 (induced by source paper "capacity achieving private information retrieval codes with optimal message size and upload cost"):
  with members:
    - "an mds pir capacity achieving protocol for distributed storage using non mds linear codes"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of cache aided private information retrieval"
    - "on the placement delivery array design for centralized coded caching scheme"

Connected through hyperedge HE-8 (induced by source paper "the repair problem for reed solomon codes optimal repair of single and multiple erasures asymptotically optimal node size"):
  with members:
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "efficiently repairing algebraic geometry codes"
    - "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"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing multiple failures for scalar mds codes"
    - "repairing reed solomon codes with multiple erasures"
    - "minimum storage regenerating codes for all parameters"

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)