MinT - Information on Result #2659272

Information on Result #2659272

Linear OOA(3¹¹⁰, 42, F₃, 3, 74) (dual of [(42, 3), 16, 75]-NRT-code), using 3 step truncation based on linear OOA(3¹¹³, 43, F₃, 3, 77) (dual of [(43, 3), 16, 78]-NRT-code), using

constructionÂ X applied to AG(3;F,0P) âŠ‚ AG(3;F,30P) [i] based on
1. linear OOA(3⁸⁰, 27, F₃, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁵, 27, F₃, 3, 50) (dual of [(27, 3), 16, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3³³, 16, F₃, 3, 26) (dual of [(16, 3), 15, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, 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.