MinT - Information on Result #2814640

Information on Result #2814640

Linear OOA(3²⁴³, 107, F₃, 4, 132) (dual of [(107, 4), 185, 133]-NRT-code), using strength reduction based on linear OOA(3²⁴³, 107, F₃, 4, 133) (dual of [(107, 4), 185, 134]-NRT-code), using

constructionÂ X applied to AG(4;F,278P) âŠ‚ AG(4;F,287P) [i] based on
1. linear OOA(3²³⁵, 103, F₃, 4, 133) (dual of [(103, 4), 177, 134]-NRT-code), using algebraic-geometric NRT-code AG(4;F,278P) [i] based on function field F/F₃ with g(F) = 102 and N(F) ≥ 104, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3²²⁶, 103, F₃, 4, 124) (dual of [(103, 4), 186, 125]-NRT-code), using algebraic-geometric NRT-code AG(4;F,287P) [i] based on function field F/F₃ with g(F) = 102 and N(F) ≥ 104 (see above)
3. linear OOA(3⁸, 4, F₃, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;8,3) [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.