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 "improved schemes for asymptotically optimal repair of mds codes"):
  Abstract: An $(n,k,l)$ MDS code of length $n$, dimension $k$, and sub-packetization $l$ over a finite field $F$ is a set of $n$ symbol vectors of length $l$ over $F$ with the property that any $k$ vectors can recover the entire data of $kl$ symbols. When a node fails, we can recover it by downloading symbols from the surviving nodes, and the total number of symbols downloaded in the worst case is the repair bandwidth of the code. By the cut-set bound, the repair bandwidth of an $(n,k,l)$ MDS code is at least $(n-1)l/(n-k)$. #R##N#There are several constructions of $(n,k,l)$ MDS codes whose repair bandwidths meet or asymptotically meet the cut-set bound. Letting $r=n-k$ denote the number of parities, Ye and Barg constructed $(n,k,r^{n})$ Reed--Solomon codes that asymptotically meet the cut-set bound. Ye and Barg also constructed optimal bandwidth and optimal update $(n,k,r^{n})$ MDS codes. A key idea in these constructions is to expand integers in base $r$. #R##N#We show in this paper that, when $r$ is an integral power, we can significantly reduce the sub-packetization of Ye's and Barg's constructions while achieving asymptotically optimal repair bandwidth. As an example, when $r = 2^m$, we achieve the sub-packetization of $2^{m+n-1}$, which improves upon the sub-packetization of $2^{mn}$ in Ye's and Barg's constructions. In general, when $r = s^m$ for an integer $s \ge 2$, our codes have sub-packetization $l = s^{m+n-1} = rs^{n-1}$. Specifically, when $r=s^{m}$, we obtain an $(n,k,s^{m+n-1})$ Reed--Solomon code and an optimal update $(n,k,s^{m+n-1})$ MDS code, which both have asymptotically optimal repair bandwidth. In order to obtain these results, we extend and generalize the $r$-ary expansion idea in Ye's and Barg's constructions.

Includes members:
  Member "optimal repair of reed solomon codes achieving the cut set bound":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "an exponential lower bound on the sub packetization of msr codes")
  Member "repairing reed solomon codes with two erasures":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the i o costs of some repair schemes for full length reed solomon codes")
  Member "optimal repair schemes for some families of full length reed solomon codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "new constructions of cooperative msr codes reducing node size to exp o n")
  Member "repairing multiple failures for scalar mds codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an improved cooperative repair scheme for reed solomon codes")
  Member "progress on high rate msr codes enabling arbitrary number of helper nodes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "cascade codes for distributed storage systems")
  Member "repairing reed solomon codes with multiple erasures":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")
  Member "minimum storage regenerating codes for all parameters":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "general sub packetized access optimal regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "erasure codes for distributed storage tight bounds and matching constructions")

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)