MinT - Information on Result #990029

Information on Result #990029

Linear OOA(64⁵⁴, 128, F₆₄, 3, 31) (dual of [(128, 3), 330, 32]-NRT-code), using OOA 2-folding based on linear OOA(64⁵⁴, 256, F₆₄, 2, 31) (dual of [(256, 2), 458, 32]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64⁵⁴, 257, F₆₄, 2, 31) (dual of [(257, 2), 460, 32]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64¹⁶, 80, F₆₄, 2, 15) (dual of [(80, 2), 144, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,144P) [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(64³⁸, 177, F₆₄, 2, 31) (dual of [(177, 2), 316, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,322P) [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.