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 "achieving maximum distance separable private information retrieval capacity with linear codes"):
  Abstract: We propose three private information retrieval (PIR) protocols for distributed storage systems (DSSs) where data is stored using an arbitrary linear code. The first two protocols, named Protocol 1 and Protocol 2, achieve privacy for the scenario with noncolluding nodes. Protocol 1 requires a file size that is exponential in the number of files in the system, while Protocol 2 requires a file size that is independent of the number of files and is hence simpler. We prove that, for certain linear codes, Protocol 1 achieves the maximum distance separable (MDS) PIR capacity, i.e., the maximum PIR rate (the ratio of the amount of retrieved stored data per unit of downloaded data) for a DSS that uses an MDS code to store any given (finite and infinite) number of files, and Protocol 2 achieves the asymptotic MDS-PIR capacity (with infinitely large number of files in the DSS). In particular, we provide a necessary and a sufficient condition for a code to achieve the MDS-PIR capacity with Protocols 1 and 2 and prove that cyclic codes, Reed-Muller (RM) codes, and a class of distance-optimal local reconstruction codes achieve both the finite MDS-PIR capacity (i.e., with any given number of files) and the asymptotic MDS-PIR capacity with Protocols 1 and 2, respectively. Furthermore, we present a third protocol, Protocol 3, for the scenario with multiple colluding nodes, which can be seen as an improvement of a protocol recently introduced by Freij-Hollanti et al.. Similar to the noncolluding case, we provide a necessary and a sufficient condition to achieve the maximum possible PIR rate of Protocol 3. Moreover, we provide a particular class of codes that is suitable for this protocol and show that RM codes achieve the maximum possible PIR rate for the protocol. For all three protocols, we present an algorithm to optimize their PIR rates.

Includes members:
  Member "lifting private information retrieval from two to any number of messages":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the capacity of single server weakly private information retrieval")
  Member "private information retrieval from mds coded data in distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "latent variable private information retrieval")
  Member "a general private information retrieval scheme for mds coded databases with colluding servers":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "private set intersection a multi message symmetric private information retrieval perspective")
  Member "optimal repair of reed solomon codes achieving the cut set bound":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an exponential lower bound on the sub packetization of msr codes")
  Member "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "latent variable private information retrieval")
  Member "t private information retrieval schemes using transitive codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "linear symmetric private information retrieval for mds coded distributed storage with colluding servers":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "towards the capacity of private information retrieval from coded and colluding servers")
  Member "private information retrieval in distributed storage systems using an arbitrary linear code":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "towards practical private information retrieval from mds array 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)