MinT - Information on Result #989829

Information on Result #989829

Linear OOA(64⁴⁸, 128, F₆₄, 3, 27) (dual of [(128, 3), 336, 28]-NRT-code), using OOA 2-folding based on linear OOA(64⁴⁸, 256, F₆₄, 2, 27) (dual of [(256, 2), 464, 28]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64⁴⁸, 257, F₆₄, 2, 27) (dual of [(257, 2), 466, 28]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64¹⁴, 80, F₆₄, 2, 13) (dual of [(80, 2), 146, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,146P) [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 OOA(64³⁴, 177, F₆₄, 2, 27) (dual of [(177, 2), 320, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,326P) [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.