MinT - Information on Result #989070

Information on Result #989070

Linear OOA(64¹³, 72, F₆₄, 3, 8) (dual of [(72, 3), 203, 9]-NRT-code), using OOA 2-folding based on linear OOA(64¹³, 144, F₆₄, 2, 8) (dual of [(144, 2), 275, 9]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64¹³, 145, F₆₄, 2, 8) (dual of [(145, 2), 277, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64⁴, 65, F₆₄, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;126,64) [i]
  2. linear OOA(64⁹, 80, F₆₄, 2, 8) (dual of [(80, 2), 151, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,151P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [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.