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 "on the tradeoff region of secure exact repair regenerating codes"):
  Abstract: We consider the $(n,k,d,\ell)$ secure exact-repair regenerating code problem, which generalizes the $(n,k,d)$ exact-repair regenerating code problem with the additional constraint that the stored file needs to be kept information-theoretically secure against an eavesdropper, who can access the data transmitted to regenerate a total of $\ell$ different failed nodes. For all known results on this problem, the achievable tradeoff regions between the normalized storage capacity and repair bandwidth have a single corner point, achieved by a scheme proposed by Shah, Rashmi and Kumar (the SRK point). Since the achievable tradeoff regions of the exact-repair regenerating code problem without any secrecy constraints are known to have multiple corner points in general, these existing results suggest a phase-change-like behavior, i.e., enforcing a secrecy constraint ($\ell\geq 1$) immediately reduces the tradeoff region to one with a single corner point. In this work, we first show that when the secrecy parameter $\ell$ is sufficiently large, the SRK point is indeed the only corner point of the tradeoff region. However, when $\ell$ is small, we show that the tradeoff region can in fact have multiple corner points. In particular, we establish a precise characterization of the tradeoff region for the $(7,6,6,1)$ problem, which has exactly two corner points. Thus, a smooth transition, instead of a phase-change-type of transition, should be expected as the secrecy constraint is gradually strengthened.

Includes members:
  Member "a note on secure minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the storage versus repair bandwidth trade off for clustered storage systems")
  Member "explicit constructions of high rate mds array codes with optimal repair bandwidth":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "toward optimal secure distributed storage systems with exact repair":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the capacity of secure distributed matrix multiplication")
  Member "the storage repair bandwidth trade off of exact repair linear regenerating codes for the case d k n 1":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "cascade codes for distributed storage systems")
  Member "on secrecy capacity of minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "achieving secrecy capacity of minimum storage regenerating codes for all feasible n k d parameter values")
  Member "layered exact repair regenerating codes via embedded error correction and block designs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "cascade codes for distributed storage systems")
  Member "symmetrical multilevel diversity coding and subset entropy inequalities":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "multilevel diversity coding with secure regeneration separate coding achieves the mbr point")
  Member "outer bounds for exact repair codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "multilevel diversity coding with secure regeneration separate coding achieves the mbr point")

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)