MinT - Information on Result #2460277

Information on Result #2460277

Linear OOA(2¹⁸⁹, 114, F₂, 2, 77) (dual of [(114, 2), 39, 78]-NRT-code), using 1 step truncation based on linear OOA(2¹⁹⁰, 115, F₂, 2, 78) (dual of [(115, 2), 40, 79]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁹⁰, 115, F₂, 2, 79) (dual of [(115, 2), 40, 80]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(32¹⁵, 23, F₃₂, 15) (dual of [23, 8, 16]-code or 23-arc in PG(14,32)), using
    - discarding factors / shortening the dual code based on linear OA(32¹⁵, 32, F₃₂, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
      - Reedâ€“Solomon code RS(17,32) [i]
  2. linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,5P) [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.