MinT - Information on Result #874892

Information on Result #874892

Linear OOA(64⁵⁷, 128, F₆₄, 2, 33) (dual of [(128, 2), 199, 34]-NRT-code), using OOA 2-folding based on linear OA(64⁵⁷, 256, F₆₄, 33) (dual of [256, 199, 34]-code), using

discarding factors / shortening the dual code based on linear OA(64⁵⁷, 257, F₆₄, 33) (dual of [257, 200, 34]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(64¹⁷, 80, F₆₄, 16) (dual of [80, 63, 17]-code), using
    - extended algebraic-geometric code AG_e(F,63P) [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(64⁴⁰, 177, F₆₄, 33) (dual of [177, 137, 34]-code), using
    - extended algebraic-geometric code AG_e(F,143P) [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.