MinT - Information on Result #2986841

Information on Result #2986841

Linear OOA(2¹⁸⁸, 25, F₂, 8, 150) (dual of [(25, 8), 12, 151]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁸, 25, F₂, 8, 157) (dual of [(25, 8), 12, 158]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁸⁴, 12, F₂, 8, 75) (dual of [(12, 8), 12, 76]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,20P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁹², 13, F₂, 8, 81) (dual of [(13, 8), 12, 82]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁹², 14, F₂, 8, 81) (dual of [(14, 8), 20, 82]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,30P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.