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: "perfect codes in the discrete simplex"
  Abstract: We study the problem of existence of (nontrivial) perfect codes in the discrete $$ n $$ n -simplex $$ \Delta _{\ell }^n := \left\{ \left( \begin{array}{l} x_0, \ldots , x_n \end{array}\right) : x_i \in {\mathbb {Z}}_{+}, \sum _i x_i = \ell \right\} $$ Δ l n : = x 0 , ? , x n : x i ? Z + , ? i x i = l under $$ \ell _1 $$ l 1 metric. The problem is motivated by the so-called multiset codes, which have recently been introduced by the authors as appropriate constructs for error correction in the permutation channels. It is shown that $$ e $$ e -perfect codes in the 1-simplex $$ \Delta _{\ell }^1 $$ Δ l 1 exist for any $$ \ell \ge 2e + 1 $$ l ? 2 e + 1 , the 2-simplex $$ \Delta _{\ell }^2$$ Δ l 2 admits an $$ e $$ e -perfect code if and only if $$ \ell = 3e + 1 $$ l = 3 e + 1 , while there are no perfect codes in higher-dimensional simplices. In other words, perfect multiset codes exist only over binary and ternary alphabets.

Connected through hyperedge HE-1 (induced by source paper "codes in the space of multisets coding for permutation channels with impairments"):
  with members:
    - "fundamental limits of dna storage systems"
    - "duplication correcting codes for data storage in the dna of living organisms"
    - "compressing sets and multisets of sequences"
    - "multiset codes for permutation channels"
    - "subset codes for packet networks"
    - "codes in permutations and error correction for rank modulation"

Connected through hyperedge HE-2 (induced by source paper "on coding over sliced information"):
  with members:
    - "coding over sets for dna storage"
    - "codes in the space of multisets coding for permutation channels with impairments"
    - "fundamental limits of dna storage systems"
    - "asymmetric lee distance codes for dna based storage"
    - "a rewritable random access dna based storage system"
    - "analysis of boolean functions"

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)