MinT - Information on Result #2771383

Information on Result #2771383

Linear OOA(3¹⁵⁴, 50, F₃, 4, 102) (dual of [(50, 4), 46, 103]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁴, 50, F₃, 4, 103) (dual of [(50, 4), 46, 104]-NRT-code), using

constructionÂ X applied to AG(4;F,84P) âŠ‚ AG(4;F,91P) [i] based on
1. linear OOA(3¹⁴⁸, 47, F₃, 4, 103) (dual of [(47, 4), 40, 104]-NRT-code), using algebraic-geometric NRT-code AG(4;F,84P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁴¹, 47, F₃, 4, 96) (dual of [(47, 4), 47, 97]-NRT-code), using algebraic-geometric NRT-code AG(4;F,91P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁶, 3, F₃, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(4;6,3) [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.