MinT - Information on Result #2711467

Information on Result #2711467

Linear OOA(3⁹⁸, 59, F₃, 3, 51) (dual of [(59, 3), 79, 52]-NRT-code), using strength reduction based on linear OOA(3⁹⁸, 59, F₃, 3, 52) (dual of [(59, 3), 79, 53]-NRT-code), using

constructionÂ X applied to AG(3;F,112P) âŠ‚ AG(3;F,119P) [i] based on
1. linear OOA(3⁹², 55, F₃, 3, 52) (dual of [(55, 3), 73, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,112P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56, using
  - a curve from the manYPoints database [i]
2. linear OOA(3⁸⁵, 55, F₃, 3, 45) (dual of [(55, 3), 80, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,119P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56 (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: 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.