MinT - Information on Result #2846063

Information on Result #2846063

Linear OOA(2²²⁷, 48, F₂, 5, 161) (dual of [(48, 5), 13, 162]-NRT-code), using strength reduction based on linear OOA(2²²⁷, 48, F₂, 5, 162) (dual of [(48, 5), 13, 163]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁷, 14, F₂, 5, 46) (dual of [(14, 5), 13, 47]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,23P) [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(2¹⁵⁷, 34, F₂, 5, 115) (dual of [(34, 5), 13, 116]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷², 17, F₂, 5, 57) (dual of [(17, 5), 13, 58]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,27P) [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.