MinT - Information on Result #2786026

Information on Result #2786026

Linear OOA(3¹²¹, 33, F₃, 4, 96) (dual of [(33, 4), 11, 97]-NRT-code), using 4 step truncation based on linear OOA(3¹²⁵, 34, F₃, 4, 100) (dual of [(34, 4), 11, 101]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,25P) [i] based on
1. linear OOA(3¹⁰⁷, 27, F₃, 4, 107) (dual of [(27, 4), 1, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;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(3⁹⁷, 27, F₃, 4, 82) (dual of [(27, 4), 11, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3¹⁸, 7, F₃, 4, 17) (dual of [(7, 4), 10, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.