MinT - Information on Result #2814340

Information on Result #2814340

Linear OOA(3²³⁵, 66, F₃, 4, 179) (dual of [(66, 4), 29, 180]-NRT-code), using strength reduction based on linear OOA(3²³⁵, 66, F₃, 4, 180) (dual of [(66, 4), 29, 181]-NRT-code), using

constructionÂ X applied to AG(4;F,71P) âŠ‚ AG(4;F,78P) [i] based on
1. linear OOA(3²²⁹, 63, F₃, 4, 180) (dual of [(63, 4), 23, 181]-NRT-code), using algebraic-geometric NRT-code AG(4;F,71P) [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(3²²², 63, F₃, 4, 173) (dual of [(63, 4), 30, 174]-NRT-code), using algebraic-geometric NRT-code AG(4;F,78P) [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.