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 "stopping sets of algebraic geometry codes"):
  Abstract: Stopping sets and stopping set distribution of a linear code play an important role in the performance analysis of iterative decoding for this linear code. Let $C$ be an $[n,k]$ linear code over $\f$ with parity-check matrix $H$, where the rows of $H$ may be dependent. Let $[n]=\{1,2,...,n\}$ denote the set of column indices of $H$. A \emph{stopping set} $S$ of $C$ with parity-check matrix $H$ is a subset of $[n]$ such that the restriction of $H$ to $S$ does not contain a row of weight 1. The \emph{stopping set distribution} $\{T_{i}(H)\}_{i=0}^{n}$ enumerates the number of stopping sets with size $i$ of $C$ with parity-check matrix $H$. Denote $H^{*}$ the parity-check matrix consisting of all the non-zero codewords in the dual code $C^{\bot}$. In this paper, we study stopping sets and stopping set distributions of some residue algebraic geometry (AG) codes with parity-check matrix $H^*$. First, we give two descriptions of stopping sets of residue AG codes. For the simplest AG codes, i.e., the generalized Reed-Solomon codes, it is easy to determine all the stopping sets. Then we consider AG codes from elliptic curves. We use the group structure of rational points of elliptic curves to present a complete characterization of stopping sets. Then the stopping sets, the stopping set distribution and the stopping distance of the AG code from an elliptic curve are reduced to the search, counting and decision versions of the subset sum problem in the group of rational points of the elliptic curve, respectively. Finally, for some special cases, we determine the stopping set distributions of AG codes from elliptic curves.

Includes members:
  Member "on generic erasure correcting sets and related problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "bounds on separating redundancy of linear codes and rates of x codes")
  Member "stopping set distributions of some linear codes":
    also connected through other hyperedges:
      (none)
  Member "single exclusion number and the stopping redundancy of mds codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "new two stage automorphism group decoders for cyclic codes in the erasure channel")
  Member "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "stopping redundancy hierarchy beyond the minimum distance")
  Member "on parity check collections for iterative erasure decoding that correct all correctable erasure patterns of a given size":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "bounds on separating redundancy of linear codes and rates of x codes")
  Member "complete enumeration of stopping sets of full rank parity check matrices of hamming codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "fountain uncorrectable sets and finite length analysis")
  Member "on the stopping distance and the stopping redundancy of codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "decoder tailored polar code design using the genetic algorithm")
  Member "hard problems of algebraic geometry codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "complementary dual algebraic geometry 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)