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 combinatorial batch codes based on block designs"):
  Abstract: Batch codes, introduced by Ishai, Kushilevitz, Ostrovsky and Sahai, represent the distributed storage of an $n$-element data set on $m$ servers in such a way that any batch of $k$ data items can be retrieved by reading at most one (or more generally, $t$) items from each server, while keeping the total storage over $m$ servers equal to $N$. This paper considers a class of batch codes (for $t=1$), called combinatorial batch codes (CBC), where each server stores a subset of a database. A CBC is called optimal if the total storage $N$ is minimal for given $n,m$, and $k$. A $c$-uniform CBC is a combinatorial batch code where each item is stored in exactly $c$ servers. A $c$-uniform CBC is called optimal if its parameter $n$ has maximum value for given $m$ and $k$. Optimal $c$-uniform CBCs have been known only for $c\in \{2,k-1,k-2\}$. #R##N#In this paper we present new constructions of optimal CBCs in both the uniform and general settings, for values of the parameters where tight bounds have not been established previously. In the uniform setting, we provide constructions of two new families of optimal uniform codes with $c\sim \sqrt{k}$. Our constructions are based on affine planes and transversal designs.

Includes members:
  Member "on an extremal hypergraph problem related to combinatorial batch codes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "multiset combinatorial batch codes")
  Member "combinatorial batch codes a lower bound and optimal constructions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "constructions of batch codes via finite geometry")
  Member "more on combinatorial batch codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "batch codes through dense graphs without short cycles")

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.DM(Discrete Mathematics)