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 "lcd codes over mathbb f _q are as good as linear codes for q at least four"):
  Abstract: The hull $H(C)$ of a linear code $C$ is defined by $H(C)=C \cap C^\perp$. A linear code with a complementary dual (LCD) is a linear code with $H(C)=\{0\}$. The dimension of the hull of a code is an invariant under permutation equivalence. For binary and ternary codes the dimension of the hull is also invariant under monomial equivalence and we show that this invariant is determined by the extended weight enumerator of the code.\\ The hull of a code is not invariant under monomial equivalence if $q\geq 4$. We show that every ${\mathbb F}_q $-linear code is monomial equivalent with an LCD code in case $q \geq 4$. The proof uses techniques from Gr\"obner basis theory. We conclude that if there exists an ${\mathbb F}_q $-linear code with parameters $[n,k,d]_q$ and $q \geq 4$, then there exists also a LCD code with the same parameters. Hence this holds for optimal and MDS codes. In particular there exist LCD codes that are above the Gilbert-Varshamov bound if $q$ is a square and $q\geq 49$ by the existence of such codes that are algebraic geometric.\\ Similar results are obtained with respect to Hermitian LCD codes.

Includes members:
  Member "on mds negacyclic lcd codes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "some new bounds on lcd codes over finite fields")
  Member "on hermitian lcd codes from cyclic codes and their applications to orthogonal direct sum masking":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "euclidean and hermitian lcd mds codes")
  Member "some bounds on binary lcd codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "binary lcd codes and self orthogonal codes via simplicial complexes")
  Member "new constructions of mds codes with complementary duals":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "galois hulls of mds codes and their quantum error correction")
  Member "complementary dual algebraic geometry codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "minimal linear codes from characteristic functions")
  Member "parameters of two classes of lcd bch codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "do non free lcd codes over finite commutative frobenius rings exist")
  Member "matrix product complementary dual codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "lcd matrix product codes over commutative rings")
  Member "the combinatorics of lcd codes linear programming bound and orthogonal matrices":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "binary lcd codes from mathbb z _2 mathbb z _2 u")

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)