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: "on linear balancing sets"
  Abstract: Let $n$ be an even positive integer and $\mathbb F$ be the field GF$(2)$. A word in $\mathbb F$n is called balanced if its Hamming weight is $n$/$2$. A subset $\mathcal C\subseteq\mathbb F$n is called a balancing set if for every word $\mathbf y\in\mathbb F$n there is a word $\mathbf x\in \mathcal C$ such that $\mathbf y + \mathbf x$ is balanced. It is shown that most linear subspaces of $\mathbb F$n of dimension slightly larger than $\frac{3}{2} \log$2$n$ are balancing sets. A generalization of this result to linear subspaces that are "almost balancing" is also presented. On the other hand, it is shown that the problem of deciding whether a given set of vectors in $\mathbb F$n spans a balancing set, is NP-hard. An application of linear balancing sets#R##N#is presented for designing efficient error-correcting coding schemes in which the codewords are balanced.

Connected through hyperedge HE-1 (induced by source paper "storage capacity of repairable networks"):
  with members:
    - "on a duality between recoverable distributed storage and index coding"
    - "a family of optimal locally recoverable codes"
    - "bounding multiple unicasts through index coding and locally repairable codes"
    - "optimal locally repairable codes via rank metric codes"
    - "an upper bound on the size of locally recoverable codes"
    - "optimal locally repairable codes and connections to matroid theory"
    - "codes with local regeneration"
    - "locally repairable codes"

Connected through hyperedge HE-2 (induced by source paper "on a duality between recoverable distributed storage and index coding"):
  with members:
    - "a family of optimal locally recoverable codes"
    - "optimal locally repairable codes via rank metric codes"
    - "an upper bound on the size of locally recoverable codes"
    - "optimal locally repairable codes and connections to matroid theory"
    - "codes with local regeneration"
    - "locally repairable codes"
    - "on the locality of codeword symbols"
    - "lexicographic products and the power of non linear network coding"

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)