MinT - Information on Result #989981

Information on Result #989981

Linear OOA(64⁵³, 128, F₆₄, 3, 30) (dual of [(128, 3), 331, 31]-NRT-code), using OOA 2-folding based on linear OOA(64⁵³, 256, F₆₄, 2, 30) (dual of [(256, 2), 459, 31]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64⁵³, 257, F₆₄, 2, 30) (dual of [(257, 2), 461, 31]-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(64³⁷, 177, F₆₄, 2, 30) (dual of [(177, 2), 317, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,323P) [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.