MinT - Information on Result #1054499

Information on Result #1054499

Linear OOA(2⁶³, 17, F₂, 4, 40) (dual of [(17, 4), 5, 41]-NRT-code), using OOA 2-folding based on linear OOA(2⁶³, 34, F₂, 2, 40) (dual of [(34, 2), 5, 41]-NRT-code), using

1 step truncation [i] based on linear OOA(2⁶⁴, 35, F₂, 2, 41) (dual of [(35, 2), 6, 42]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8⁵, 7, F₈, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
    - discarding factors / shortening the dual code based on linear OA(8⁵, 8, F₈, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
      - Reedâ€“Solomon code RS(3,8) [i]
  2. linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [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.