MinT - Information on Result #2985799

Information on Result #2985799

Linear OOA(2¹⁷⁴, 23, F₂, 8, 142) (dual of [(23, 8), 10, 143]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁴, 23, F₂, 8, 148) (dual of [(23, 8), 10, 149]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁷⁰, 10, F₂, 8, 64) (dual of [(10, 8), 10, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁹⁴, 13, F₂, 8, 83) (dual of [(13, 8), 10, 84]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁹⁴, 14, F₂, 8, 83) (dual of [(14, 8), 18, 84]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,28P) [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.