MinT - Information on Result #2953839

Information on Result #2953839

Linear OOA(2²³⁶, 35, F₂, 7, 194) (dual of [(35, 7), 9, 195]-NRT-code), using strength reduction based on linear OOA(2²³⁶, 35, F₂, 7, 195) (dual of [(35, 7), 9, 196]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁴, 9, F₂, 7, 49) (dual of [(9, 7), 9, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;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(2¹⁷³, 26, F₂, 7, 145) (dual of [(26, 7), 9, 146]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁵⁴, 9, F₂, 7, 49) (dual of [(9, 7), 9, 50]-NRT-code) (see above)
    2. linear OOA(2¹¹⁰, 17, F₂, 7, 95) (dual of [(17, 7), 9, 96]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(7;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.