MinT - Information on Result #1102953

Information on Result #1102953

Linear OOA(3⁷⁶, 22, F₃, 5, 37) (dual of [(22, 5), 34, 38]-NRT-code), using OOA 2-folding based on linear OOA(3⁷⁶, 44, F₃, 3, 37) (dual of [(44, 3), 56, 38]-NRT-code), using

constructionÂ X applied to AG(3;F,35P) âŠ‚ AG(3;F,41P) [i] based on
1. linear OOA(3⁶³, 36, F₃, 3, 37) (dual of [(36, 3), 45, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,35P) 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(3⁵¹, 36, F₃, 3, 25) (dual of [(36, 3), 57, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,41P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3¹³, 8, F₃, 3, 11) (dual of [(8, 3), 11, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [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.