MinT - Information on Result #2848322

Information on Result #2848322

Linear OOA(2²⁵³, 52, F₂, 5, 194) (dual of [(52, 5), 7, 195]-NRT-code), using strength reduction based on linear OOA(2²⁵³, 52, F₂, 5, 195) (dual of [(52, 5), 7, 196]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁸, 7, F₂, 5, 25) (dual of [(7, 5), 7, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,9P) [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(2²¹⁸, 45, F₂, 5, 169) (dual of [(45, 5), 7, 170]-NRT-code), using
  - repeating each code word 5 times [i] based on linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.