MinT - Information on Result #874945

Information on Result #874945

Linear OOA(64⁵⁹, 128, F₆₄, 2, 34) (dual of [(128, 2), 197, 35]-NRT-code), using OOA 2-folding based on linear OA(64⁵⁹, 256, F₆₄, 34) (dual of [256, 197, 35]-code), using

discarding factors / shortening the dual code based on linear OA(64⁵⁹, 257, F₆₄, 34) (dual of [257, 198, 35]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(64¹⁸, 80, F₆₄, 17) (dual of [80, 62, 18]-code), using
    - extended algebraic-geometric code AG_e(F,62P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]
  2. linear OA(64⁴¹, 177, F₆₄, 34) (dual of [177, 136, 35]-code), using
    - extended algebraic-geometric code AG_e(F,142P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
      - a function field by GarcÃa and Quoos [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.