MinT - Information on Result #2620732

Information on Result #2620732

Linear OOA(3⁶⁸, 30, F₃, 3, 48) (dual of [(30, 3), 22, 49]-NRT-code), using strength reduction based on linear OOA(3⁶⁸, 30, F₃, 3, 49) (dual of [(30, 3), 22, 50]-NRT-code), using

constructionÂ X applied to AG(3;F,31P) âŠ‚ AG(3;F,36P) [i] based on
1. linear OOA(3⁶⁴, 27, F₃, 3, 49) (dual of [(27, 3), 17, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,31P) [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(3⁵⁹, 27, F₃, 3, 44) (dual of [(27, 3), 22, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,36P) [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.