MinT - Information on Result #1104289

Information on Result #1104289

Linear OOA(3⁹⁹, 22, F₃, 5, 60) (dual of [(22, 5), 11, 61]-NRT-code), using OOA 2-folding based on linear OOA(3⁹⁹, 44, F₃, 3, 60) (dual of [(44, 3), 33, 61]-NRT-code), using

constructionÂ X applied to AG(3;F,23P) âŠ‚ AG(3;F,29P) [i] based on
1. linear OOA(3⁸⁷, 36, F₃, 3, 61) (dual of [(36, 3), 21, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,23P) 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(3⁷⁵, 36, F₃, 3, 49) (dual of [(36, 3), 33, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,29P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3¹², 8, F₃, 3, 10) (dual of [(8, 3), 12, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, 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.