MinT - Information on Result #1134529

Information on Result #1134529

Linear OOA(2⁸⁹, 16, F₂, 6, 57) (dual of [(16, 6), 7, 58]-NRT-code), using OOA 2-folding based on linear OOA(2⁸⁹, 32, F₂, 3, 57) (dual of [(32, 3), 7, 58]-NRT-code), using

8 step truncation [i] based on linear OOA(2⁹⁷, 35, F₂, 3, 65) (dual of [(35, 3), 8, 66]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16⁵, 7, F₁₆, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁵, 16, F₁₆, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
      - Reedâ€“Solomon code RS(11,16) [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.