MinT - Information on Result #2720955

Information on Result #2720955

Linear OOA(8¹³⁸, 131, F₈, 3, 95) (dual of [(131, 3), 255, 96]-NRT-code), using strength reduction based on linear OOA(8¹³⁸, 131, F₈, 3, 96) (dual of [(131, 3), 255, 97]-NRT-code), using

constructionÂ X applied to AG(3;F,287P) âŠ‚ AG(3;F,292P) [i] based on
1. linear OOA(8¹³⁴, 128, F₈, 3, 96) (dual of [(128, 3), 250, 97]-NRT-code), using algebraic-geometric NRT-code AG(3;F,287P) [i] based on function field F/F₈ with g(F) = 38 and N(F) ≥ 129, using
  - a curve from the manYPoints database [i]
2. linear OOA(8¹²⁹, 128, F₈, 3, 91) (dual of [(128, 3), 255, 92]-NRT-code), using algebraic-geometric NRT-code AG(3;F,292P) [i] based on function field F/F₈ with g(F) = 38 and N(F) ≥ 129 (see above)
3. linear OOA(8⁴, 3, F₈, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8⁴, 8, F₈, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;20,8) [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.