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 "an iterative algorithm for parametrization of shortest length linear shift registers over finite chain rings"):
  Abstract: The construction of shortest feedback shift registers for a finite sequence $$S_1,\ldots ,S_N$$S1,ź,SN is considered over finite chain rings, such as $${\mathbb Z}_{p^r}$$Zpr. A novel algorithm is presented that yields a parametrization of all shortest feedback shift registers for the sequence of numbers $$S_1,\ldots ,S_N$$S1,ź,SN, thus solving an open problem in the literature. The algorithm iteratively processes each number, starting with $$S_1$$S1, and constructs at each step a particular type of minimal basis. The construction involves a simple update rule at each step which leads to computational efficiency. It is shown that the algorithm simultaneously computes a similar parametrization for the reverse sequence $$S_N,\ldots ,S_1$$SN,ź,S1. The complexity order of the algorithm is shown to be $$O(r N^2)$$O(rN2).

Includes members:
  Member "a parametric approach to list decoding of reed solomon codes using interpolation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "list decoding algorithm based on voting in grobner bases for general one point ag codes")
  Member "minimal polynomial algorithms for finite sequences":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "b e zout identities associated to a finite sequence")
  Member "minimal gr obner bases and the predictable leading monomial property":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on minimality of convolutional ring encoders")
  Member "on minimality of convolutional ring encoders":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "minimal gr obner bases and the predictable leading monomial property")
  Member "new list decoding algorithms for reed solomon and bch codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "reed solomon codes over fields of characteristic zero")

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)