MinT - Information on Result #2806215

Information on Result #2806215

Linear OOA(3²¹⁹, 65, F₃, 4, 135) (dual of [(65, 4), 41, 136]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²¹⁵, 64, F₃, 4, 135) (dual of [(64, 4), 41, 136]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,33P) [i] based on
1. linear OOA(3¹⁴³, 36, F₃, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) 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(3¹⁰³, 36, F₃, 4, 77) (dual of [(36, 4), 41, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,33P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁷², 28, F₃, 4, 57) (dual of [(28, 4), 40, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.