MinT - Information on Result #1153381

Information on Result #1153381

Linear OOA(2⁹⁹, 18, F₂, 7, 52) (dual of [(18, 7), 27, 53]-NRT-code), using OOA 2-folding based on linear OOA(2⁹⁹, 36, F₂, 4, 52) (dual of [(36, 4), 45, 53]-NRT-code), using

constructionÂ X applied to AG(4;F,75P) âŠ‚ AG(4;F,83P) [i] based on
1. linear OOA(2⁹¹, 32, F₂, 4, 52) (dual of [(32, 4), 37, 53]-NRT-code), using algebraic-geometric NRT-code AG(4;F,75P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁸³, 32, F₂, 4, 44) (dual of [(32, 4), 45, 45]-NRT-code), using algebraic-geometric NRT-code AG(4;F,83P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁸, 4, F₂, 4, 7) (dual of [(4, 4), 8, 8]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2⁸, 5, F₂, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.