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 "properties of constacyclic codes under the schur product"):
  Abstract: For a subspace $W$ of a vector space $V$ of dimension $n$, the Schur-product space $W^{\langle k\rangle}$ for $k \in \mathbb{N}$ is defined to be the span of all vectors formed by the component-wise multiplication of $k$ vectors in $W$. It is well known that repeated applications of the Schur product to the subspace $W$ creates subspaces $W, W^{\langle 2 \rangle}, W^{\langle 3 \rangle}, \ldots$ whose dimensions are monotonically non-decreasing. However, quantifying the structure and growth of such spaces remains an important open problem with applications to cryptography and coding theory. This paper characterizes how increasing powers of constacyclic codes grow under the Schur product and gives necessary and sufficient criteria for when powers of the code and or dimension of the code are invariant under the Schur product.

Includes members:
  Member "squares of matrix product codes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "high dimensional affine codes whose square has a designed minimum distance")
  Member "on squares of cyclic codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "squares of matrix product codes")
  Member "recovering short secret keys of rlce in polynomial time":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "cryptanalysis of a system based on twisted reed solomon codes")
  Member "an efficient structural attack on nist submission dags":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "cryptanalysis of a system based on twisted reed solomon codes")
  Member "a generalization of quasi twisted codes multi twisted codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on zpzp u v additive cyclic and constacyclic codes")
  Member "quantum resistant random linear code based public key encryption scheme rlce":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "cryptanalysis of a system based on twisted reed solomon codes")
  Member "squares of random linear codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "squares of matrix product codes")
  Member "polynomial time attack on wild mceliece over quadratic extensions":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "squares of matrix product 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)