MinT - Information on Result #2811715

Information on Result #2811715

Linear OOA(3¹³⁹, 66, F₃, 4, 83) (dual of [(66, 4), 125, 84]-NRT-code), using strength reduction based on linear OOA(3¹³⁹, 66, F₃, 4, 84) (dual of [(66, 4), 125, 85]-NRT-code), using

constructionÂ X applied to AG(4;F,167P) âŠ‚ AG(4;F,174P) [i] based on
1. linear OOA(3¹³³, 63, F₃, 4, 84) (dual of [(63, 4), 119, 85]-NRT-code), using algebraic-geometric NRT-code AG(4;F,167P) [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(3¹²⁶, 63, F₃, 4, 77) (dual of [(63, 4), 126, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,174P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3⁶, 3, F₃, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(4;6,3) [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.