MinT - Information on Result #2722660

Information on Result #2722660

Linear OOA(9¹³⁵, 184, F₉, 3, 80) (dual of [(184, 3), 417, 81]-NRT-code), using strength reduction based on linear OOA(9¹³⁵, 184, F₉, 3, 81) (dual of [(184, 3), 417, 82]-NRT-code), using

constructionÂ X applied to AG(3;F,461P) âŠ‚ AG(3;F,466P) [i] based on
1. linear OOA(9¹³¹, 181, F₉, 3, 81) (dual of [(181, 3), 412, 82]-NRT-code), using algebraic-geometric NRT-code AG(3;F,461P) [i] based on function field F/F₉ with g(F) = 50 and N(F) ≥ 182, using
  - a curve from the manYPoints database [i]
2. linear OOA(9¹²⁶, 181, F₉, 3, 76) (dual of [(181, 3), 417, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,466P) [i] based on function field F/F₉ with g(F) = 50 and N(F) ≥ 182 (see above)
3. linear OOA(9⁴, 3, F₉, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁴, 9, F₉, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;23,9) [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.