MinT - Information on Result #989109

Information on Result #989109

Linear OOA(64¹⁶, 72, F₆₄, 3, 10) (dual of [(72, 3), 200, 11]-NRT-code), using OOA 2-folding based on linear OOA(64¹⁶, 144, F₆₄, 2, 10) (dual of [(144, 2), 272, 11]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64¹⁶, 145, F₆₄, 2, 10) (dual of [(145, 2), 274, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64⁵, 65, F₆₄, 2, 5) (dual of [(65, 2), 125, 6]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;125,64) [i]
  2. linear OOA(64¹¹, 80, F₆₄, 2, 10) (dual of [(80, 2), 149, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,149P) [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.