MinT - Information on Result #2620893

Information on Result #2620893

Linear OOA(3⁷⁸, 44, F₃, 3, 38) (dual of [(44, 3), 54, 39]-NRT-code), using strength reduction based on linear OOA(3⁷⁸, 44, F₃, 3, 39) (dual of [(44, 3), 54, 40]-NRT-code), using

constructionÂ X applied to AG(3;F,34P) âŠ‚ AG(3;F,40P) [i] based on
1. linear OOA(3⁶⁵, 36, F₃, 3, 39) (dual of [(36, 3), 43, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,34P) 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(3⁵³, 36, F₃, 3, 27) (dual of [(36, 3), 55, 28]-NRT-code), using algebraic-geometric NRT-code AG(3;F,40P) 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.