MinT - Information on Result #2813567

Information on Result #2813567

Linear OOA(3²¹⁰, 58, F₃, 4, 163) (dual of [(58, 4), 22, 164]-NRT-code), using strength reduction based on linear OOA(3²¹⁰, 58, F₃, 4, 164) (dual of [(58, 4), 22, 165]-NRT-code), using

constructionÂ X applied to AG(4;F,55P) âŠ‚ AG(4;F,62P) [i] based on
1. linear OOA(3²⁰⁴, 55, F₃, 4, 164) (dual of [(55, 4), 16, 165]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹⁹⁷, 55, F₃, 4, 157) (dual of [(55, 4), 23, 158]-NRT-code), using algebraic-geometric NRT-code AG(4;F,62P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56 (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.