MinT - Information on Result #2712305

Information on Result #2712305

Linear OOA(3¹⁶², 69, F₃, 3, 103) (dual of [(69, 3), 45, 104]-NRT-code), using strength reduction based on linear OOA(3¹⁶², 69, F₃, 3, 104) (dual of [(69, 3), 45, 105]-NRT-code), using

constructionÂ X applied to AG(3;F,84P) âŠ‚ AG(3;F,93P) [i] based on
1. linear OOA(3¹⁵³, 63, F₃, 3, 104) (dual of [(63, 3), 36, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,84P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹⁴⁴, 63, F₃, 3, 95) (dual of [(63, 3), 45, 96]-NRT-code), using algebraic-geometric NRT-code AG(3;F,93P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3⁹, 6, F₃, 3, 8) (dual of [(6, 3), 9, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹, 7, F₃, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]

Mode: 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.