MinT - Information on Result #2914517

Information on Result #2914517

Linear OOA(2²³², 45, F₂, 6, 165) (dual of [(45, 6), 38, 166]-NRT-code), using strength reduction based on linear OOA(2²³², 45, F₂, 6, 166) (dual of [(45, 6), 38, 167]-NRT-code), using

constructionÂ X applied to AG(6;F,79P) âŠ‚ AG(6;F,91P) [i] based on
1. linear OOA(2²²⁰, 41, F₂, 6, 166) (dual of [(41, 6), 26, 167]-NRT-code), using algebraic-geometric NRT-code AG(6;F,79P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2²⁰⁸, 41, F₂, 6, 154) (dual of [(41, 6), 38, 155]-NRT-code), using algebraic-geometric NRT-code AG(6;F,91P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2¹², 4, F₂, 6, 11) (dual of [(4, 6), 12, 12]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2¹², 5, F₂, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,13P) [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.