MinT - Information on Result #2465717

Information on Result #2465717

Linear OOA(3²⁴¹, 125, F₃, 2, 168) (dual of [(125, 2), 9, 169]-NRT-code), using 2 step truncation based on linear OOA(3²⁴³, 126, F₃, 2, 170) (dual of [(126, 2), 9, 171]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁸, 21, F₂₇, 18) (dual of [21, 3, 19]-code or 21-arc in PG(17,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁸, 27, F₂₇, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
    - Reedâ€“Solomon code RS(9,27) [i]
2. linear OOA(3⁹, 6, F₃, 2, 8) (dual of [(6, 2), 3, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.