MinT - Information on Result #1060498

Information on Result #1060498

Linear OOA(3³⁷, 15, F₃, 4, 19) (dual of [(15, 4), 23, 20]-NRT-code), using OOA 2-folding based on linear OOA(3³⁷, 30, F₃, 2, 19) (dual of [(30, 2), 23, 20]-NRT-code), using

constructionÂ X applied to AG(2;F,34P) âŠ‚ AG(2;F,38P) [i] based on
1. linear OOA(3³⁴, 27, F₃, 2, 19) (dual of [(27, 2), 20, 20]-NRT-code), using algebraic-geometric NRT-code AG(2;F,34P) [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(3³⁰, 27, F₃, 2, 15) (dual of [(27, 2), 24, 16]-NRT-code), using algebraic-geometric NRT-code AG(2;F,38P) [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.