MinT - Information on Result #2786505

Information on Result #2786505

Linear OOA(3²¹⁶, 63, F₃, 4, 140) (dual of [(63, 4), 36, 141]-NRT-code), using 3 step truncation based on linear OOA(3²¹⁹, 64, F₃, 4, 143) (dual of [(64, 4), 37, 144]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,31P) [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(3¹⁰⁷, 36, F₃, 4, 81) (dual of [(36, 4), 37, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,31P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁷⁶, 28, F₃, 4, 61) (dual of [(28, 4), 36, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,50P) [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.