MinT - Information on Result #2783210

Information on Result #2783210

Linear OOA(2²⁵⁵, 68, F₂, 4, 153) (dual of [(68, 4), 17, 154]-NRT-code), using 5 step truncation based on linear OOA(2²⁶⁰, 70, F₂, 4, 158) (dual of [(70, 4), 20, 159]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁶⁰, 70, F₂, 4, 164) (dual of [(70, 4), 20, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(32¹⁰, 14, F₃₂, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,32)), using
    - discarding factors / shortening the dual code based on linear OA(32¹⁰, 32, F₃₂, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
      - Reedâ€“Solomon code RS(22,32) [i]
  2. linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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.