MinT - Information on Result #2890779

Information on Result #2890779

Linear OOA(3²¹⁷, 87, F₃, 5, 134) (dual of [(87, 5), 218, 135]-NRT-code), using strength reduction based on linear OOA(3²¹⁷, 87, F₃, 5, 136) (dual of [(87, 5), 218, 137]-NRT-code), using

constructionÂ X applied to AG(5;F,278P) âŠ‚ AG(5;F,289P) [i] based on
1. linear OOA(3²⁰⁷, 83, F₃, 5, 136) (dual of [(83, 5), 208, 137]-NRT-code), using algebraic-geometric NRT-code AG(5;F,278P) [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(3¹⁹⁶, 83, F₃, 5, 125) (dual of [(83, 5), 219, 126]-NRT-code), using algebraic-geometric NRT-code AG(5;F,289P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3¹⁰, 4, F₃, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;10,3) [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.