MinT - Information on Result #2712677

Information on Result #2712677

Linear OOA(3¹⁸⁹, 90, F₃, 3, 106) (dual of [(90, 3), 81, 107]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁹, 90, F₃, 3, 107) (dual of [(90, 3), 81, 108]-NRT-code), using

constructionÂ X applied to AG(3;F,141P) âŠ‚ AG(3;F,152P) [i] based on
1. linear OOA(3¹⁷⁸, 83, F₃, 3, 107) (dual of [(83, 3), 71, 108]-NRT-code), using algebraic-geometric NRT-code AG(3;F,141P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3¹⁶⁷, 83, F₃, 3, 96) (dual of [(83, 3), 82, 97]-NRT-code), using algebraic-geometric NRT-code AG(3;F,152P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (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.