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 rate list decoding over bounded alphabets using algebraic geometric codes"):
  Abstract: We give new constructions of two classes of algebraic code families which are efficiently list decodable with small output list size from a fraction $1-R-\epsilon$ of adversarial errors where $R$ is the rate of the code, for any desired positive constant $\epsilon$. The alphabet size depends only $\epsilon$ and is nearly-optimal. #R##N#The first class of codes are obtained by folding algebraic-geometric codes using automorphisms of the underlying function field. The list decoding algorithm is based on a linear-algebraic approach, which pins down the candidate messages to a subspace with a nice "periodic" structure. The list is pruned by precoding into a special form of "subspace-evasive" sets, which are constructed pseudorandomly. Instantiating this construction with the Garcia-Stichtenoth function field tower yields codes list-decodable up to a $1-R-\epsilon$ error fraction with list size bounded by $O(1/\epsilon)$, matching the existential bound up to constant factors. The parameters we achieve are thus quite close to the existential bounds in all three aspects: error-correction radius, alphabet size, and list-size. #R##N#The second class of codes are obtained by restricting evaluation points of an algebraic-geometric code to rational points from a subfield. Once again, the linear-algebraic approach to list decoding to pin down candidate messages to a periodic subspace. We develop an alternate approach based on "subspace designs" to precode messages. Together with the subsequent explicit constructions of subspace designs, this yields a deterministic construction of an algebraic code family of rate $R$ with efficient list decoding from $1-R-\epsilon$ fraction of errors over a constant-sized alphabet. The list size is bounded by a very slowly growing function of the block length $N$; in particular, it is at most $O(\log^{(r)} N)$ (the $r$'th iterated logarithm) for any fixed integer $r$.

Includes members:
  Member "linear algebraic list decoding of folded reed solomon codes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "beyond the guruswami sudan and parvaresh vardy radii folded reed solomon multiplicity and derivative codes")
  Member "subspace evasive sets":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "beyond the guruswami sudan and parvaresh vardy radii folded reed solomon multiplicity and derivative 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.CC(Computational Complexity)