MinT - Information on Result #1135365

Information on Result #1135365

Linear OOA(2⁹⁸, 17, F₂, 6, 72) (dual of [(17, 6), 4, 73]-NRT-code), using OOA 2-folding based on linear OOA(2⁹⁸, 34, F₂, 3, 72) (dual of [(34, 3), 4, 73]-NRT-code), using

6 step truncation [i] based on linear OOA(2¹⁰⁴, 36, F₂, 3, 78) (dual of [(36, 3), 4, 79]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁸⁹, 31, F₂, 3, 67) (dual of [(31, 3), 4, 68]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
      2. linear OOA(2⁷⁴, 26, F₂, 3, 56) (dual of [(26, 3), 4, 57]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
        linear OOA(2⁵⁹, 21, F₂, 3, 45) (dual of [(21, 3), 4, 46]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
        linear OOA(2⁴⁴, 16, F₂, 3, 34) (dual of [(16, 3), 4, 35]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
        linear OOA(2²⁹, 11, F₂, 3, 23) (dual of [(11, 3), 4, 24]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) (see above)
        linear OOA(2¹⁴, 6, F₂, 3, 12) (dual of [(6, 3), 4, 13]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.