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: "fast operations on linearized polynomials and their applications in coding theory"
  Abstract: This paper considers fast algorithms for operations on linearized polynomials. We propose a new multiplication algorithm for skew polynomials (a generalization of linearized polynomials) which has sub-quadratic complexity in the polynomial degree $s$, independent of the underlying field extension degree~$m$. We show that our multiplication algorithm is faster than all known ones when $s \leq m$. Using a result by Caruso and Le Borgne (2017), this immediately implies a sub-quadratic division algorithm for linearized polynomials for arbitrary polynomial degree $s$. Also, we propose algorithms with sub-quadratic complexity for the $q$-transform, multi-point evaluation, computing minimal subspace polynomials, and interpolation, whose implementations were at least quadratic before. Using the new fast algorithm for the $q$-transform, we show how matrix multiplication over a finite field can be implemented by multiplying linearized polynomials of degrees at most $s=m$ if an elliptic normal basis of extension degree $m$ exists, providing a lower bound on the cost of the latter problem. Finally, it is shown how the new fast operations on linearized polynomials lead to the first error and erasure decoding algorithm for Gabidulin codes with sub-quadratic complexity.

Connected through hyperedge HE-1 (induced by source paper "decoding high order interleaved rank metric codes"):
  with members:
    - "on error decoding of locally repairable and partial mds codes"
    - "on decoding and applications of interleaved goppa codes"
    - "improved power decoding of interleaved one point hermitian codes"
    - "on a rank metric code based cryptosystem with small key size"
    - "a public key cryptosystem from interleaved goppa codes"
    - "repairing the faure loidreau public key cryptosystem"
    - "fast multiplication for skew polynomials"
    - "new criteria for mrd and gabidulin codes and some rank metric code constructions"

Connected through hyperedge HE-2 (induced by source paper "mathbb f _ q n linear rank distance codes and their distinguishers"):
  with members:
    - "partition balanced families of codes and asymptotic enumeration in coding theory"
    - "on the genericity of maximum rank distance and gabidulin codes"
    - "new criteria for mrd and gabidulin codes and some rank metric code constructions"
    - "automorphism groups of gabidulin like codes"
    - "rank metric codes and their duality theory"
    - "equivalence for rank metric and matrix codes and automorphism groups of gabidulin codes"

Connected through hyperedge HE-3 (induced by source paper "computing the characteristic polynomial of a finite rank two drinfeld module"):
  with members:
    - "fast multiplication for skew polynomials"
    - "improved rectangular matrix multiplication using powers of the coppersmith winograd tensor"
    - "drinfeld modules with complex multiplication hasse invariants and factoring polynomials over finite fields"
    - "fast deterministic computation of the hermite normal form and determinant of a polynomial matrix"
    - "polynomial factorization over finite fields by computing euler poincare characteristics of drinfeld modules"
    - "powers of tensors and fast matrix multiplication"

Connected through hyperedge HE-4 (induced by source paper "on the list decodability of rank metric codes"):
  with members:
    - "partition balanced families of codes and asymptotic enumeration in coding theory"
    - "on the genericity of maximum rank distance and gabidulin codes"
    - "automorphism groups of gabidulin like codes"
    - "equivalence for rank metric and matrix codes and automorphism groups of gabidulin codes"
    - "bounds on list decoding of rank metric codes"

Connected through hyperedge HE-5 (induced by source paper "on a rank metric code based cryptosystem with small key size"):
  with members:
    - "sub quadratic decoding of gabidulin codes"
    - "polynomial time key recovery attack on the faure loidreau scheme based on gabidulin codes"
    - "list and unique error erasure decoding of interleaved gabidulin codes with interpolation techniques"
    - "bounds on list decoding of rank metric codes"
    - "on the complexity of the rank syndrome decoding problem"
    - "fast encoding and decoding of gabidulin codes"
    - "a rank metric approach to error control in random network coding"

Connected through hyperedge HE-6 (induced by source paper "fast multiplication for skew polynomials"):
  with members:
    - "sub quadratic decoding of gabidulin codes"
    - "a diffie hellman like key exchange protocol based on multivariate ore polynomials"
    - "quasi optimal multiplication of linear differential operators"
    - "fast encoding and decoding of gabidulin codes"

Connected through hyperedge HE-7 (induced by source paper "an alternative decoding method for gabidulin codes in characteristic zero"):
  with members:
    - "solving shift register problems over skew polynomial rings using module minimisation"
    - "some gabidulin codes cannot be list decoded efficiently at any radius"
    - "recovering low rank matrices from few coefficients in any basis"
    - "exact matrix completion via convex optimization"
    - "coding for errors and erasures in random network coding"

Connected through hyperedge HE-8 (induced by source paper "sub quadratic decoding of gabidulin codes"):
  with members:
    - "error resilience in distributed storage via rank metric codes"
    - "fast encoding and decoding of gabidulin codes"
    - "a rank metric approach to error control in random network coding"

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.SC(Symbolic Computation)