MinT - Information on Result #2812711

Information on Result #2812711

Linear OOA(3¹⁸⁰, 67, F₃, 4, 122) (dual of [(67, 4), 88, 123]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁰, 67, F₃, 4, 123) (dual of [(67, 4), 88, 124]-NRT-code), using

constructionÂ X applied to AG(4;F,128P) âŠ‚ AG(4;F,137P) [i] based on
1. linear OOA(3¹⁷², 63, F₃, 4, 123) (dual of [(63, 4), 80, 124]-NRT-code), using algebraic-geometric NRT-code AG(4;F,128P) [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(3¹⁶³, 63, F₃, 4, 114) (dual of [(63, 4), 89, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,137P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3⁸, 4, F₃, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;8,3) [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.