MinT - Information on Result #2814518

Information on Result #2814518

Linear OOA(3²⁴⁰, 86, F₃, 4, 162) (dual of [(86, 4), 104, 163]-NRT-code), using strength reduction based on linear OOA(3²⁴⁰, 86, F₃, 4, 163) (dual of [(86, 4), 104, 164]-NRT-code), using

constructionÂ X applied to AG(4;F,168P) âŠ‚ AG(4;F,175P) [i] based on
1. linear OOA(3²³⁴, 83, F₃, 4, 163) (dual of [(83, 4), 98, 164]-NRT-code), using algebraic-geometric NRT-code AG(4;F,168P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3²²⁷, 83, F₃, 4, 156) (dual of [(83, 4), 105, 157]-NRT-code), using algebraic-geometric NRT-code AG(4;F,175P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (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.