MinT - Information on Result #2712206

Information on Result #2712206

Linear OOA(3¹⁵⁵, 73, F₃, 3, 89) (dual of [(73, 3), 64, 90]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁵, 73, F₃, 3, 90) (dual of [(73, 3), 64, 91]-NRT-code), using

constructionÂ X applied to AG(3;F,98P) âŠ‚ AG(3;F,112P) [i] based on
1. linear OOA(3¹³⁹, 63, F₃, 3, 90) (dual of [(63, 3), 50, 91]-NRT-code), using algebraic-geometric NRT-code AG(3;F,98P) [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(3¹²⁵, 63, F₃, 3, 76) (dual of [(63, 3), 64, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,112P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹⁶, 10, F₃, 3, 13) (dual of [(10, 3), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, 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.