MinT - Information on Result #2711952

Information on Result #2711952

Linear OOA(3¹³⁸, 70, F₃, 3, 77) (dual of [(70, 3), 72, 78]-NRT-code), using strength reduction based on linear OOA(3¹³⁸, 70, F₃, 3, 78) (dual of [(70, 3), 72, 79]-NRT-code), using

constructionÂ X applied to AG(3;F,110P) âŠ‚ AG(3;F,121P) [i] based on
1. linear OOA(3¹²⁷, 63, F₃, 3, 78) (dual of [(63, 3), 62, 79]-NRT-code), using algebraic-geometric NRT-code AG(3;F,110P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹¹⁶, 63, F₃, 3, 67) (dual of [(63, 3), 73, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,121P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹¹, 7, F₃, 3, 10) (dual of [(7, 3), 10, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [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.