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 locally repairable codes of distance 3 and 4 via cyclic codes"):
  Abstract: Like classical block codes, a locally repairable code also obeys the Singleton-type bound (we call a locally repairable code {\it optimal} if it achieves the Singleton-type bound). In the breakthrough work of \cite{TB14}, several classes of optimal locally repairable codes were constructed via subcodes of Reed-Solomon codes. Thus, the lengths of the codes given in \cite{TB14} are upper bounded by the code alphabet size $q$. Recently, it was proved through extension of construction in \cite{TB14} that length of $q$-ary optimal locally repairable codes can be $q+1$ in \cite{JMX17}. Surprisingly, \cite{BHHMV16} presented a few examples of $q$-ary optimal locally repairable codes of small distance and locality with code length achieving roughly $q^2$. Very recently, it was further shown in \cite{LMX17} that there exist $q$-ary optimal locally repairable codes with length bigger than $q+1$ and distance propositional to $n$. #R##N#Thus, it becomes an interesting and challenging problem to construct new families of $q$-ary optimal locally repairable codes of length bigger than $q+1$. #R##N#In this paper, we construct a class of optimal locally repairable codes of distance $3$ and $4$ with unbounded length (i.e., length of the codes is independent of the code alphabet size). Our technique is through cyclic codes with particular generator and parity-check polynomials that are carefully chosen.

Includes members:
  Member "rate optimal binary linear locally repairable codes with small availability":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "analyzing the download time of availability codes")
  Member "construction of optimal locally repairable codes via automorphism groups of rational function fields":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "constructive asymptotic bounds of locally repairable codes via function fields")
  Member "locally recoverable codes from algebraic curves and surfaces":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "convertible codes efficient conversion of coded data in distributed storage")
  Member "optimal locally repairable codes via elliptic curves":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on optimal locally repairable codes and generalized sector disk codes")
  Member "locally recoverable codes on algebraic curves":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies")
  Member "a family of optimal locally recoverable codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a locality based approach for coded computation")
  Member "on the locality of codeword symbols in non linear codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies")
  Member "optimal locally repairable codes via rank metric codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on error decoding of locally repairable and partial mds 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)