MinT - Information on Result #2846057

Information on Result #2846057

Linear OOA(2²²⁷, 47, F₂, 5, 169) (dual of [(47, 5), 8, 170]-NRT-code), using strength reduction based on linear OOA(2²²⁷, 47, F₂, 5, 171) (dual of [(47, 5), 8, 172]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³², 8, F₂, 5, 28) (dual of [(8, 5), 8, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸⁷, 39, F₂, 5, 142) (dual of [(39, 5), 8, 143]-NRT-code), using
  - strength reduction [i] based on linear OOA(2¹⁸⁷, 39, F₂, 5, 143) (dual of [(39, 5), 8, 144]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³⁷, 9, F₂, 5, 32) (dual of [(9, 5), 8, 33]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,12P) [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(2¹⁴², 30, F₂, 5, 110) (dual of [(30, 5), 8, 111]-NRT-code), using
        repeating each code word 3 times [i] based on linear OOA(2⁴², 10, F₂, 5, 36) (dual of [(10, 5), 8, 37]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.