MinT - Information on Result #2763185

Information on Result #2763185

Linear OOA(2¹⁸², 47, F₂, 4, 133) (dual of [(47, 4), 6, 134]-NRT-code), using strength reduction based on linear OOA(2¹⁸², 47, F₂, 4, 135) (dual of [(47, 4), 6, 136]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²², 7, F₂, 4, 19) (dual of [(7, 4), 6, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁴, 40, F₂, 4, 115) (dual of [(40, 4), 6, 116]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.