MinT - Information on Result #2848145

Information on Result #2848145

Linear OOA(2²⁵¹, 52, F₂, 5, 185) (dual of [(52, 5), 9, 186]-NRT-code), using strength reduction based on linear OOA(2²⁵¹, 52, F₂, 5, 187) (dual of [(52, 5), 9, 188]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(2²⁰⁶, 43, F₂, 5, 155) (dual of [(43, 5), 9, 156]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code) (see above)
    2. linear OOA(2¹⁶¹, 34, F₂, 5, 123) (dual of [(34, 5), 9, 124]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(2⁷⁶, 17, F₂, 5, 61) (dual of [(17, 5), 9, 62]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;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.