• Codes from symmetric polynomials 

      Johnsen, Trygve; Datta, Mrinmoy (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-10-10)
      We define and study a class of Reed–Muller type error-correcting codes obtained from elementary symmetric functions in finitely many variables. We determine the code parameters and higher weight spectra in the simplest cases.
    • Relative generalized Hamming weights of affine Cartesian codes 

      Datta, Mrinmoy (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-03-10)
      We explicitly determine all the relative generalized Hamming weights of affine Cartesian codes using the notion of footprints and results from extremal combinatorics. This generalizes the previous works on the determination of relative generalized Hamming weights of Reed–Muller codes by Geil and Martin, as well as the determination of all the generalized Hamming weights of the affine Cartesian codes ...