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 "a new class of permutation trinomials constructed from niho exponents"):
  Abstract: Permutation polynomials over finite fields are an interesting subject of mathematics recently due to their important applications in other areas of mathematics and engineering. In general, only the permutation polynomials possessing a simple appearance or additional extraordinary properties are of particular interest. In this paper we investigate the trinomial $f(x)=x^{(p-1)q+1}+x^{pq}-x^{q+(p-1)}$ over the finite field $\mathbb{F}_{q^2}$, where $p$ is an odd prime and $q=p^k$ with $k$ being a positive integer. It is shown that when $p=3$ or $5$, $f(x)$ is a permutation trinomial over $\mathbb{F}_{q^2}$ if and only if $k$ is even. The techniques for proving the permutation property are based on some special operations on the trace function and the norm function. Moreover, we also show that our permutation trinomials are new in the sense that they are not multiplicative equivalent to any of the known ones with the specific form.

Includes members:
  Member "several classes of permutation trinomials from niho exponents":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "some results about permutation properties of a kind of binomials over finite fields")
  Member "several classes of permutation trinomials over mathbb f_ 5 n from niho exponents":
    also connected through other hyperedges:
      (none)
  Member "new permutation trinomials from niho exponents over finite fields with even characteristic":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on a conjecture about a class of permutation quadrinomials")
  Member "new permutation trinomials constructed from fractional polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "some results about permutation properties of a kind of binomials over finite fields")
  Member "on two conjectures about permutation trinomials over mathbb f _ 3 2k":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "several classes of permutation trinomials over mathbb f_ 5 n from niho exponents")
  Member "new classes of permutation binomials and permutation trinomials over finite fields":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "some results about permutation properties of a kind of binomials over finite fields")
  Member "permutation trinomials over finite fields with even characteristic":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "some results about permutation properties of a kind of binomials over finite fields")

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)