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: "some remarks on multiplicity codes"
  Abstract: Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives. This small augmentation confers upon them better local decoding, list-decoding and local list-decoding algorithms than their classical counterparts. We survey what is known about these codes, present some variations and improvements, and finally list some interesting open problems.

Connected through hyperedge HE-1 (induced by source paper "beyond the guruswami sudan and parvaresh vardy radii folded reed solomon multiplicity and derivative codes"):
  with members:
    - "linear algebraic list decoding of folded reed solomon codes"
    - "subspace evasive sets"
    - "optimal rate list decoding via derivative codes"
    - "folded algebraic geometric codes from galois extensions"
    - "explicit codes achieving list decoding capacity error correction with optimal redundancy"

Connected through hyperedge HE-2 (induced by source paper "lifted multiplicity codes"):
  with members:
    - "batch and pir codes and their connections to locally repairable codes"
    - "lower bound on the redundancy of pir codes"
    - "bounds on the parameters of locally recoverable codes"
    - "high rate locally correctable and locally testable codes with sub polynomial query complexity"
    - "bounds on locally recoverable codes with multiple recovering sets"

Connected through hyperedge HE-3 (induced by source paper "fast hermite interpolation and evaluation over finite fields of characteristic two"):
  with members:
    - "fast transforms over finite fields of characteristic two"
    - "faster integer and polynomial multiplication using cyclotomic coefficient rings"
    - "fast systematic encoding of multiplicity codes"
    - "faster multiplication for long binary polynomials"
    - "a storage efficient and robust private information retrieval scheme allowing few servers"
    - "novel polynomial basis and its application to reed solomon erasure codes"
    - "faster polynomial multiplication over finite fields"
    - "an in place truncated fourier transform and applications to polynomial multiplication"

Connected through hyperedge HE-4 (induced by source paper "high rate locally correctable and locally testable codes with sub polynomial query complexity"):
  with members:
    - "linear time list recovery of high rate expander codes"
    - "local correctability of expander codes"
    - "some improvements to total degree tests"
    - "new affine invariant codes from lifting"
    - "a combination of testability and decodability by tensor products"
    - "dense locally testable codes cannot have constant rate and distance"
    - "locally decodable codes from nice subsets of finite fields and prime factors of mersenne numbers"
    - "explicit codes achieving list decoding capacity error correction with optimal redundancy"

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)