MinT - Information on Result #2812345

Information on Result #2812345

Linear OOA(3¹⁶⁵, 86, F₃, 4, 87) (dual of [(86, 4), 179, 88]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁵, 86, F₃, 4, 88) (dual of [(86, 4), 179, 89]-NRT-code), using

constructionÂ X applied to AG(4;F,243P) âŠ‚ AG(4;F,250P) [i] based on
1. linear OOA(3¹⁵⁹, 83, F₃, 4, 88) (dual of [(83, 4), 173, 89]-NRT-code), using algebraic-geometric NRT-code AG(4;F,243P) [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(3¹⁵², 83, F₃, 4, 81) (dual of [(83, 4), 180, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,250P) [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.