MinT - Information on Result #1136648

Information on Result #1136648

Linear OOA(2¹⁷², 31, F₂, 6, 102) (dual of [(31, 6), 14, 103]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁷², 62, F₂, 3, 102) (dual of [(62, 3), 14, 103]-NRT-code), using

7 step truncation [i] based on linear OOA(2¹⁷⁹, 65, F₂, 3, 109) (dual of [(65, 3), 16, 110]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16⁹, 13, F₁₆, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁹, 16, F₁₆, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
      - Reedâ€“Solomon code RS(7,16) [i]
  2. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.