MinT - Information on Result #2711932

Information on Result #2711932

Linear OOA(3¹³⁷, 58, F₃, 3, 92) (dual of [(58, 3), 37, 93]-NRT-code), using strength reduction based on linear OOA(3¹³⁷, 58, F₃, 3, 93) (dual of [(58, 3), 37, 94]-NRT-code), using

constructionÂ X applied to AG(3;F,71P) âŠ‚ AG(3;F,76P) [i] based on
1. linear OOA(3¹³³, 55, F₃, 3, 93) (dual of [(55, 3), 32, 94]-NRT-code), using algebraic-geometric NRT-code AG(3;F,71P) [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(3¹²⁸, 55, F₃, 3, 88) (dual of [(55, 3), 37, 89]-NRT-code), using algebraic-geometric NRT-code AG(3;F,76P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56 (see above)
3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;5,3) [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.