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 "new theoretical bounds and constructions of permutation codes under block permutation metric"):
  Abstract: Permutation codes under different metrics have been extensively studied due to their potentials in various applications. Generalized Cayley metric is introduced to correct generalized transposition errors, including previously studied metrics such as Kendall's $\tau$-metric, Ulam metric and Cayley metric as special cases. Since the generalized Cayley distance between two permutations is not easily computable, Yang et al. introduced a related metric of the same order, named the block permutation metric. Given positive integers $n$ and $d$, let $\mathcal{C}_{B}(n,d)$ denote the maximum size of a permutation code in $S_n$ with minimum block permutation distance $d$. In this paper, we focus on the theoretical bounds of $\mathcal{C}_{B}(n,d)$ and the constructions of permutation codes under block permutation metric. Using a graph theoretic approach, we improve the Gilbert-Varshamov type bound by a factor of $\Omega(\log{n})$, when $d$ is fixed and $n$ goes into infinity. We also propose a new encoding scheme based on binary constant weight codes. Moreover, an upper bound beating the sphere-packing type bound is given when $d$ is relatively close to $n$.

Includes members:
  Member "theoretical bounds and constructions of codes in the generalized cayley metric":
    also connected through other hyperedges:
      (none)
  Member "new bounds of permutation codes under hamming metric and kendall s tau metric":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "equivalence relations for computing permutation polynomials")
  Member "new bounds for permutation codes in ulam metric":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "theoretical bounds and constructions of codes in the generalized cayley metric")
  Member "snake in the box codes for rank modulation under kendall s tau metric":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "theoretical bounds and constructions of codes in the generalized cayley metric")
  Member "error correction in flash memories via codes in the ulam metric":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "optimal constant weight codes under l_1 metric")

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)