MinT - Information on Result #1167987

Information on Result #1167987

Linear OOA(2¹⁸⁹, 37, F₂, 8, 64) (dual of [(37, 8), 107, 65]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁸⁹, 74, F₂, 4, 64) (dual of [(74, 4), 107, 65]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁸⁹, 75, F₂, 4, 64) (dual of [(75, 4), 111, 65]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁷¹, 33, F₂, 4, 32) (dual of [(33, 4), 61, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,99P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹⁸, 42, F₂, 4, 64) (dual of [(42, 4), 50, 65]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,103P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
      - an explicitly constructive algebraic function field [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.