MinT - Information on Result #2989660

Information on Result #2989660

Linear OOA(2²²², 29, F₂, 8, 186) (dual of [(29, 8), 10, 187]-NRT-code), using strength reduction based on linear OOA(2²²², 29, F₂, 8, 188) (dual of [(29, 8), 10, 189]-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(2¹⁴², 19, F₂, 8, 123) (dual of [(19, 8), 10, 124]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹⁴², 20, F₂, 8, 123) (dual of [(20, 8), 18, 124]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,36P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.