MinT - Information on Result #2712370

Information on Result #2712370

Linear OOA(3¹⁶⁶, 86, F₃, 3, 90) (dual of [(86, 3), 92, 91]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁶, 86, F₃, 3, 91) (dual of [(86, 3), 92, 92]-NRT-code), using

constructionÂ X applied to AG(3;F,157P) âŠ‚ AG(3;F,162P) [i] based on
1. linear OOA(3¹⁶², 83, F₃, 3, 91) (dual of [(83, 3), 87, 92]-NRT-code), using algebraic-geometric NRT-code AG(3;F,157P) [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(3¹⁵⁷, 83, F₃, 3, 86) (dual of [(83, 3), 92, 87]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;5,3) [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.