MinT - Information on Result #2770483

Information on Result #2770483

Linear OOA(3¹³³, 50, F₃, 4, 81) (dual of [(50, 4), 67, 82]-NRT-code), using strength reduction based on linear OOA(3¹³³, 50, F₃, 4, 82) (dual of [(50, 4), 67, 83]-NRT-code), using

constructionÂ X applied to AG(4;F,105P) âŠ‚ AG(4;F,112P) [i] based on
1. linear OOA(3¹²⁷, 47, F₃, 4, 82) (dual of [(47, 4), 61, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,105P) [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(3¹²⁰, 47, F₃, 4, 75) (dual of [(47, 4), 68, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,112P) [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.