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 "optimal repair of mds codes in distributed storage via subspace interference alignment"):
  Abstract: It is well known that an (n,k) code can be used to store 'k' units of information in 'n' unit-capacity disks of a distributed data storage system. If the code used is maximum distance separable (MDS), then the system can tolerate any (n-k) disk failures, since the original information can be recovered from any k surviving disks. The focus of this paper is the design of a systematic MDS code with the additional property that a single disk failure can be repaired with minimum repair bandwidth, i.e., with the minimum possible amount of data to be downloaded for recovery of the failed disk. Previously, a lower bound of (n-1)/(n-k) units has been established by Dimakis et. al, on the repair bandwidth for a single disk failure in an (n,k) MDS code . Recently, the existence of asymptotic codes achieving this lower bound for arbitrary (n,k) has been established by drawing connections to interference alignment. While the existence of asymptotic constructions achieving this lower bound have been shown, finite code constructions achieving this lower bound existed in previous literature only for the special (high-redundancy) scenario where $k \leq \max(n/2,3)$. The question of existence of finite codes for arbitrary values of (n,k) achieving the lower bound on the repair bandwidth remained open. In this paper, by using permutation coding sub-matrices, we provide the first known finite MDS code which achieves the optimal repair bandwidth of (n-1)/(n-k) for arbitrary (n,k), for recovery of a failed systematic disk. We also generalize our permutation matrix based constructions by developing a novel framework for repair-bandwidth-optimal MDS codes based on the idea of subspace interference alignment - a concept previously introduced by Suh and Tse the context of wireless cellular networks.

Includes members:
  Member "distributed storage codes with repair by transfer and nonachievability of interior points on the storage bandwidth tradeoff":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")
  Member "mds array codes with optimal rebuilding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "speeding up distributed machine learning using codes")
  Member "distributed storage codes through hadamard designs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "explicit mds codes for optimal repair bandwidth")
  Member "double circulant minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "distributed storage codes with repair by transfer and nonachievability of interior points on the storage bandwidth tradeoff")
  Member "on the existence of optimal exact repair mds codes for distributed storage":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "cascade codes for distributed storage systems")
  Member "fractional repetition codes for repair in distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "numerically stable binary gradient coding")
  Member "exact regeneration codes for distributed storage repair using interference alignment":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "improving the secrecy of distributed storage systems using interference alignment")
  Member "searching for minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "cascade codes for distributed storage systems")

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)