MinT - Information on Result #990320

Information on Result #990320

Linear OOA(64⁶⁵, 128, F₆₄, 3, 38) (dual of [(128, 3), 319, 39]-NRT-code), using OOA 2-folding based on linear OOA(64⁶⁵, 256, F₆₄, 2, 38) (dual of [(256, 2), 447, 39]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64⁶⁵, 257, F₆₄, 2, 38) (dual of [(257, 2), 449, 39]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64²⁰, 80, F₆₄, 2, 19) (dual of [(80, 2), 140, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,140P) [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(64⁴⁵, 177, F₆₄, 2, 38) (dual of [(177, 2), 309, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,315P) [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.