MinT - Information on Result #2713082

Information on Result #2713082

Linear OOA(3²¹⁷, 93, F₃, 3, 129) (dual of [(93, 3), 62, 130]-NRT-code), using strength reduction based on linear OOA(3²¹⁷, 93, F₃, 3, 130) (dual of [(93, 3), 62, 131]-NRT-code), using

constructionÂ X applied to AG(3;F,118P) âŠ‚ AG(3;F,132P) [i] based on
1. linear OOA(3²⁰¹, 83, F₃, 3, 130) (dual of [(83, 3), 48, 131]-NRT-code), using algebraic-geometric NRT-code AG(3;F,118P) [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(3¹⁸⁷, 83, F₃, 3, 116) (dual of [(83, 3), 62, 117]-NRT-code), using algebraic-geometric NRT-code AG(3;F,132P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3¹⁶, 10, F₃, 3, 13) (dual of [(10, 3), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, 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.