MinT - Information on Result #2814307

Information on Result #2814307

Linear OOA(3²³⁴, 66, F₃, 4, 178) (dual of [(66, 4), 30, 179]-NRT-code), using strength reduction based on linear OOA(3²³⁴, 66, F₃, 4, 179) (dual of [(66, 4), 30, 180]-NRT-code), using

constructionÂ X applied to AG(4;F,72P) âŠ‚ AG(4;F,79P) [i] based on
1. linear OOA(3²²⁸, 63, F₃, 4, 179) (dual of [(63, 4), 24, 180]-NRT-code), using algebraic-geometric NRT-code AG(4;F,72P) [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(3²²¹, 63, F₃, 4, 172) (dual of [(63, 4), 31, 173]-NRT-code), using algebraic-geometric NRT-code AG(4;F,79P) [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.