MinT - Information on Result #2764393

Information on Result #2764393

Linear OOA(2²⁰¹, 53, F₂, 4, 131) (dual of [(53, 4), 11, 132]-NRT-code), using strength reduction based on linear OOA(2²⁰¹, 53, F₂, 4, 132) (dual of [(53, 4), 11, 133]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴¹, 13, F₂, 4, 30) (dual of [(13, 4), 11, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁴¹, 14, F₂, 4, 30) (dual of [(14, 4), 15, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,25P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁹, 40, F₂, 4, 101) (dual of [(40, 4), 11, 102]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶⁹, 20, F₂, 4, 50) (dual of [(20, 4), 11, 51]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,29P) [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.