MinT - Information on Result #941538

Information on Result #941538

Linear OOA(2¹³⁹, 73, F₂, 2, 82) (dual of [(73, 2), 7, 83]-NRT-code), using juxtaposition based on

linear OOA(2³⁹, 23, F₂, 2, 23) (dual of [(23, 2), 7, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2³⁹, 24, F₂, 2, 23) (dual of [(24, 2), 9, 24]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. 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(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2⁹³, 50, F₂, 2, 58) (dual of [(50, 2), 7, 59]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2⁹⁴, 51, F₂, 2, 59) (dual of [(51, 2), 8, 60]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 4) [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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.