human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "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.

Connected through hyperedge HE-1 (induced by source paper "latent variable private information retrieval"):
  with members:
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "breaking the mds pir capacity barrier via joint storage coding"
    - "robust private information retrieval from coded systems with byzantine and colluding servers"
    - "the capacity of private information retrieval from uncoded storage constrained databases"
    - "an mds pir capacity achieving protocol for distributed storage using non mds linear codes"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "cross subspace alignment and the asymptotic capacity of x secure t private information retrieval"

Connected through hyperedge HE-2 (induced by source paper "towards practical private information retrieval from mds array codes"):
  with members:
    - "a new capacity achieving private information retrieval scheme with almost optimal file length for coded servers"
    - "on the pir capacity of msr codes"
    - "breaking the mds pir capacity barrier via joint storage coding"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "on sub packetization and access number of capacity achieving pir schemes for mds coded non colluding servers"
    - "private information retrieval schemes with regenerating codes"

Connected through hyperedge HE-3 (induced by source paper "the capacity of single server weakly private information retrieval"):
  with members:
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "on the information leakage in private information retrieval systems"
    - "weakly private information retrieval"
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "asymmetry helps improved private information retrieval protocols for distributed storage"
    - "lifting private information retrieval from two to any number of messages"
    - "an operational approach to information leakage"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"

Connected through hyperedge HE-4 (induced by source paper "towards the capacity of private information retrieval from coded and colluding servers"):
  with members:
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "lifting private information retrieval from two to any number of messages"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "on the capacity of single server multi message private information retrieval with side information"
    - "capacity of single server single message private information retrieval with coded side information"
    - "the capacity of private information retrieval from byzantine and colluding databases"
    - "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al"
    - "secure symmetric private information retrieval from colluding databases with adversaries"

Connected through hyperedge HE-5 (induced by source paper "private set intersection a multi message symmetric private information retrieval perspective"):
  with members:
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "on the storage cost of private information retrieval"
    - "on the information leakage in private information retrieval systems"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "improved storage for efficient private information retrieval"
    - "staircase pir universally robust private information retrieval"
    - "noisy private information retrieval on separability of channel coding and information retrieval"
    - "the capacity of private information retrieval from uncoded storage constrained databases"

Connected through hyperedge HE-6 (induced by source paper "on the information leakage in private information retrieval systems"):
  with members:
    - "weakly private information retrieval"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "the capacity of private information retrieval with eavesdroppers"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of cache aided private information retrieval"
    - "the capacity of private information retrieval from byzantine and colluding databases"

Connected through hyperedge HE-7 (induced by source paper "on the storage cost of private information retrieval"):
  with members:
    - "how to use undiscovered information inequalities direct applications of the copy lemma"
    - "breaking the mds pir capacity barrier via joint storage coding"
    - "an open source toolbox for computer aided investigation on the fundamental limits of information systems version 0 1"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "improved storage for efficient private information retrieval"
    - "the capacity of private information retrieval from uncoded storage constrained databases"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "on the capacity of locally decodable codes"

Connected through hyperedge HE-8 (induced by source paper "breaking the mds pir capacity barrier via joint storage coding"):
  with members:
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "an optimal iterative placement algorithm for pir from heterogeneous storage constrained databases"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "the capacity of private information retrieval from uncoded storage constrained databases"
    - "batch and pir codes and their connections to locally repairable codes"
    - "on the fundamental limit of private information retrieval for coded distributed storage"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "on sub packetization and access number of capacity achieving pir schemes for mds coded non colluding servers"

Question: Please tell me which class the center node 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)