human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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 $\delta = r/(r-1)$.

Includes members:
  Member "optimal locally repairable and secure codes for distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on optimal locally repairable codes and generalized sector disk codes")
  Member "exact regenerating codes between mbr and msr points":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "local codes with cooperative repair in distributed storage system")
  Member "zigzag codes mds array codes with optimal rebuilding":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")
  Member "data secrecy in distributed storage systems under exact repair":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "achieving secrecy capacity of minimum storage regenerating codes for all feasible n k d parameter values")
  Member "exact repair regenerating codes via layered erasure correction and block designs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on secure exact repair regenerating codes with a single pareto optimal point")
  Member "high rate regenerating codes through layering":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a connection between locally repairable codes and exact regenerating codes")
  Member "access vs bandwidth in codes for storage":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "explicit msr codes with optimal access optimal sub packetization and small field size for d k 1 k 2 k 3")
  Member "optimal exact regenerating codes for distributed storage at the msr and mbr points via a product matrix construction":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")

Question: Please tell me which class the source paper 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)