MinT - Information on Result #990077

Information on Result #990077

Linear OOA(64⁵⁸, 140, F₆₄, 3, 32) (dual of [(140, 3), 362, 33]-NRT-code), using OOA 2-folding based on linear OOA(64⁵⁸, 280, F₆₄, 2, 32) (dual of [(280, 2), 502, 33]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(64⁵⁸, 281, F₆₄, 2, 32) (dual of [(281, 2), 504, 33]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(64¹⁹, 104, F₆₄, 2, 16) (dual of [(104, 2), 189, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,191P) [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(64³⁹, 177, F₆₄, 2, 32) (dual of [(177, 2), 315, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,321P) [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.