MinT - Information on Result #2610243

Information on Result #2610243

Linear OOA(2⁶⁵, 23, F₂, 3, 47) (dual of [(23, 3), 4, 48]-NRT-code), using strength reduction based on linear OOA(2⁶⁵, 23, F₂, 3, 49) (dual of [(23, 3), 4, 50]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁵⁰, 18, F₂, 3, 38) (dual of [(18, 3), 4, 39]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2¹⁴, 6, F₂, 3, 12) (dual of [(6, 3), 4, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.