MinT - Information on Result #2611078

Information on Result #2611078

Linear OOA(2⁹⁶, 34, F₂, 3, 61) (dual of [(34, 3), 6, 62]-NRT-code), using strength reduction based on linear OOA(2⁹⁶, 34, F₂, 3, 62) (dual of [(34, 3), 6, 63]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷⁸, 28, F₂, 3, 51) (dual of [(28, 3), 6, 52]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2¹⁵, 7, F₂, 3, 12) (dual of [(7, 3), 6, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;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]

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.