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 "constructions of quantum mds codes"):
  Abstract: Let $\mathbb{F}_q$ be a finite field with $q=p^{e}$ elements, where $p$ is a prime number and $e \geq 1$ is an integer. In this paper, by means of generalized Reed-Solomon (GRS) codes, we construct two new classes of quantum maximum-distance-separable ( quantum MDS) codes with parameters #R##N#$$[[q + 1, 2k-q-1, q-k+2]]_q$$ for $\lceil\frac{q+2}{2}\rceil \leq k\leq q+1$, and $$[[n,2k-n,n-k+1]]_q$$ for $n\leq q $ and $ \lceil\frac{n}{2}\rceil \leq k\leq n$. Our constructions improve and generalize some results of available in the literature. Moreover, we give an affirmative answer to the open problem proposed by Fang et al. in \cite{Fang1}.

Includes members:
  Member "coding theory the unit derived methodology":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a new method for constructing eaqec mds codes")
  Member "some new constructions of quantum mds codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "two new classes of quantum mds codes from generalized reed solomon codes")
  Member "mds codes with arbitrary dimensional hull and their applications":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "linear ell intersection pairs of codes and their applications")
  Member "galois lcd codes over finite fields":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "self reciprocal and self conjugate reciprocal irreducible factors of x n lambda and their applications")
  Member "new mds self dual codes from generalized reed solomon codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a new method for constructing eaqec mds codes")
  Member "a construction of new quantum mds codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "galois hulls of mds codes and their quantum error correction")

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)