MinT - Information on Result #2762185

Information on Result #2762185

Linear OOA(2¹⁶³, 43, F₂, 4, 109) (dual of [(43, 4), 9, 110]-NRT-code), using strength reduction based on linear OOA(2¹⁶³, 43, F₂, 4, 112) (dual of [(43, 4), 9, 113]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁷, 34, F₂, 4, 89) (dual of [(34, 4), 9, 90]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁵⁹, 17, F₂, 4, 44) (dual of [(17, 4), 9, 45]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.