MinT - Information on Result #2761818

Information on Result #2761818

Linear OOA(2¹⁵⁶, 45, F₂, 4, 93) (dual of [(45, 4), 24, 94]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁶, 45, F₂, 4, 94) (dual of [(45, 4), 24, 95]-NRT-code), using

constructionÂ X applied to AG(4;F,69P) âŠ‚ AG(4;F,77P) [i] based on
1. linear OOA(2¹⁴⁸, 41, F₂, 4, 94) (dual of [(41, 4), 16, 95]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) [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(2¹⁴⁰, 41, F₂, 4, 86) (dual of [(41, 4), 24, 87]-NRT-code), using algebraic-geometric NRT-code AG(4;F,77P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (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.