MinT - Information on Result #2461240

Information on Result #2461240

Linear OOA(2²³⁹, 144, F₂, 2, 95) (dual of [(144, 2), 49, 96]-NRT-code), using 1 step truncation based on linear OOA(2²⁴⁰, 145, F₂, 2, 96) (dual of [(145, 2), 50, 97]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁴⁰, 145, F₂, 2, 99) (dual of [(145, 2), 50, 100]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(32¹⁹, 29, F₃₂, 19) (dual of [29, 10, 20]-code or 29-arc in PG(18,32)), using
    - discarding factors / shortening the dual code based on linear OA(32¹⁹, 32, F₃₂, 19) (dual of [32, 13, 20]-code or 32-arc in PG(18,32)), using
      - Reedâ€“Solomon code RS(13,32) [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.