MinT - Information on Result #2621601

Information on Result #2621601

Linear OOA(3¹⁰⁹, 51, F₃, 3, 57) (dual of [(51, 3), 44, 58]-NRT-code), using strength reduction based on linear OOA(3¹⁰⁹, 51, F₃, 3, 58) (dual of [(51, 3), 44, 59]-NRT-code), using

constructionÂ X applied to AG(3;F,82P) âŠ‚ AG(3;F,89P) [i] based on
1. linear OOA(3¹⁰³, 47, F₃, 3, 58) (dual of [(47, 3), 38, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,82P) [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(3⁹⁶, 47, F₃, 3, 51) (dual of [(47, 3), 45, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,89P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁶, 4, F₃, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;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.