MinT - Information on Result #1103576

Information on Result #1103576

Linear OOA(3⁸⁹, 23, F₃, 5, 46) (dual of [(23, 5), 26, 47]-NRT-code), using OOA 2-folding based on linear OOA(3⁸⁹, 46, F₃, 3, 46) (dual of [(46, 3), 49, 47]-NRT-code), using

strength reduction [i] based on linear OOA(3⁸⁹, 46, F₃, 3, 47) (dual of [(46, 3), 49, 48]-NRT-code), using
- constructionÂ X applied to AG(3;F,30P) âŠ‚ AG(3;F,37P) [i] based on
  1. linear OOA(3⁷³, 36, F₃, 3, 47) (dual of [(36, 3), 35, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,30P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁵⁹, 36, F₃, 3, 33) (dual of [(36, 3), 49, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,37P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(3¹⁶, 10, F₃, 3, 13) (dual of [(10, 3), 14, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and 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.