MinT - Information on Result #2714433

Information on Result #2714433

Linear OOA(4¹²⁴, 96, F₄, 3, 64) (dual of [(96, 3), 164, 65]-NRT-code), using strength reduction based on linear OOA(4¹²⁴, 96, F₄, 3, 65) (dual of [(96, 3), 164, 66]-NRT-code), using

constructionÂ X applied to AG(3;F,204P) âŠ‚ AG(3;F,213P) [i] based on
1. linear OOA(4¹¹⁵, 90, F₄, 3, 65) (dual of [(90, 3), 155, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,204P) [i] based on function field F/F₄ with g(F) = 50 and N(F) ≥ 91, using
  - a curve from the manYPoints database [i]
2. linear OOA(4¹⁰⁶, 90, F₄, 3, 56) (dual of [(90, 3), 164, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,213P) [i] based on function field F/F₄ with g(F) = 50 and N(F) ≥ 91 (see above)
3. linear OOA(4⁹, 6, F₄, 3, 8) (dual of [(6, 3), 9, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁹, 9, F₄, 3, 8) (dual of [(9, 3), 18, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
      - the Hermitian function field over F₄ [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.