MinT - Information on Result #2711920

Information on Result #2711920

Linear OOA(3¹³⁶, 59, F₃, 3, 89) (dual of [(59, 3), 41, 90]-NRT-code), using strength reduction based on linear OOA(3¹³⁶, 59, F₃, 3, 90) (dual of [(59, 3), 41, 91]-NRT-code), using

constructionÂ X applied to AG(3;F,74P) âŠ‚ AG(3;F,81P) [i] based on
1. linear OOA(3¹³⁰, 55, F₃, 3, 90) (dual of [(55, 3), 35, 91]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) [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(3¹²³, 55, F₃, 3, 83) (dual of [(55, 3), 42, 84]-NRT-code), using algebraic-geometric NRT-code AG(3;F,81P) [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.