MinT - Information on Result #2712421

Information on Result #2712421

Linear OOA(3¹⁷⁰, 71, F₃, 3, 107) (dual of [(71, 3), 43, 108]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁰, 71, F₃, 3, 108) (dual of [(71, 3), 43, 109]-NRT-code), using

constructionÂ X applied to AG(3;F,80P) âŠ‚ AG(3;F,92P) [i] based on
1. linear OOA(3¹⁵⁷, 63, F₃, 3, 108) (dual of [(63, 3), 32, 109]-NRT-code), using algebraic-geometric NRT-code AG(3;F,80P) [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(3¹⁴⁵, 63, F₃, 3, 96) (dual of [(63, 3), 44, 97]-NRT-code), using algebraic-geometric NRT-code AG(3;F,92P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹³, 8, F₃, 3, 11) (dual of [(8, 3), 11, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, 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.