MinT - Information on Result #2786583

Information on Result #2786583

Linear OOA(3²²², 66, F₃, 4, 134) (dual of [(66, 4), 42, 135]-NRT-code), using 7 step truncation based on linear OOA(3²²⁹, 68, F₃, 4, 141) (dual of [(68, 4), 43, 142]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,34P) [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(3¹⁰¹, 36, F₃, 4, 75) (dual of [(36, 4), 43, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,34P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁸⁶, 32, F₃, 4, 65) (dual of [(32, 4), 42, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,62P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.