MinT - Information on Result #1061704

Information on Result #1061704

Linear OOA(3⁴⁸, 15, F₃, 4, 30) (dual of [(15, 4), 12, 31]-NRT-code), using OOA 2-folding based on linear OOA(3⁴⁸, 30, F₃, 2, 30) (dual of [(30, 2), 12, 31]-NRT-code), using

constructionÂ X applied to AG(2;F,23P) âŠ‚ AG(2;F,27P) [i] based on
1. linear OOA(3⁴⁵, 27, F₃, 2, 30) (dual of [(27, 2), 9, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,23P) [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(3⁴¹, 27, F₃, 2, 26) (dual of [(27, 2), 13, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,27P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3³, 3, F₃, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;3,3) [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.