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Fat polynomials were recently introduced as a generalization of scattered polynomials. These polynomials define linear sets on the projective line with r points of weight greater than one and also rank-metric codes with a certain number of matrices of lower rank. In this paper, we explore 1- and 2-fat polynomials, providing examples and some classification results.

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On Fat Linearized Polynomials

  • 会议论文

  • 发表日期：

    2025年

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  • Olga Polverino,
  • Paolo Santonastaso,
  • Ferdinando Zullo

摘要

Fat polynomials were recently introduced as a generalization of scattered polynomials. These polynomials define linear sets on the projective line with r points of weight greater than one and also rank-metric codes with a certain number of matrices of lower rank. In this paper, we explore 1- and 2-fat polynomials, providing examples and some classification results.