MinT - Information on Result #2652943

Information on Result #2652943

Linear OOA(2¹⁰⁶, 38, F₂, 3, 66) (dual of [(38, 3), 8, 67]-NRT-code), using 5 step truncation based on linear OOA(2¹¹¹, 40, F₂, 3, 71) (dual of [(40, 3), 9, 72]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
  - Denniston code D(1,8) [i]
2. linear OOA(2⁹, 4, F₂, 3, 8) (dual of [(4, 3), 3, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁹, 5, F₂, 3, 8) (dual of [(5, 3), 6, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [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.