MinT - Information on Result #1103800

Information on Result #1103800

Linear OOA(3⁶⁹, 15, F₃, 5, 50) (dual of [(15, 5), 6, 51]-NRT-code), using OOA 2-folding based on linear OOA(3⁶⁹, 30, F₃, 3, 50) (dual of [(30, 3), 21, 51]-NRT-code), using

constructionÂ X applied to AG(3;F,30P) âŠ‚ AG(3;F,35P) [i] based on
1. 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, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁰, 27, F₃, 3, 45) (dual of [(27, 3), 21, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,35P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;5,3) [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.