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 "circular shift linear network coding"):
  Abstract: We study a class of linear network coding (LNC) schemes, called  circular-shift  LNC, whose encoding operations consist of only circular-shifts and bit-wise additions. Formulated as a special vector linear code over GF(2), an    $L$   -dimensional circular-shift linear code of degree    $\delta $    restricts its local encoding kernels to be the summation of at most    $\delta $    cyclic permutation matrices of size    $L$   . We show that on a general network, for a certain block length    $L$   , every scalar linear solution over GF(   $2^{L-1}$   ) can induce an    $L$   -dimensional circular-shift linear solution with 1-bit redundancy per-edge transmission. Consequently, specific to a multicast network, such a circular-shift linear solution of an arbitrary degree    $\delta $    can be efficiently constructed, which has an interesting complexity tradeoff between encoding and decoding with different choices of    $\delta $   . By further proving that circular-shift LNC is insufficient to achieve the exact capacity of certain multicast networks, we show the optimality of the efficiently constructed circular-shift linear solution in the sense that its 1-bit redundancy is inevitable. Finally, both theoretical and numerical analysis imply that with increasing    $L$   , a randomly constructed circular-shift linear code has linear solvability behavior comparable to a randomly constructed permutation-based linear code, but has shorter overheads.

Includes members:
  Member "linear network coding over rings part ii vector codes and non commutative alphabets":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "linear network coding effects of varying the message dimension on the set of characteristics")
  Member "a class of non linearly solvable networks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a local perspective on the edge removal problem")
  Member "on vector linear solvability of multicast networks":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the gap between scalar and vector solutions of generalized combination networks")
  Member "vector network coding based on subspace codes outperforms scalar linear network coding":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "roos bound for skew cyclic codes in hamming and rank metric")
  Member "multicast network coding and field sizes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "linear network coding effects of varying the message dimension on the set of characteristics")

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)