MinT - Information on Result #2890738

Information on Result #2890738

Linear OOA(3²¹⁶, 98, F₃, 5, 118) (dual of [(98, 5), 274, 119]-NRT-code), using strength reduction based on linear OOA(3²¹⁶, 98, F₃, 5, 120) (dual of [(98, 5), 274, 121]-NRT-code), using

constructionÂ X applied to AG(5;F,354P) âŠ‚ AG(5;F,362P) [i] based on
1. linear OOA(3²⁰⁹, 95, F₃, 5, 120) (dual of [(95, 5), 266, 121]-NRT-code), using algebraic-geometric NRT-code AG(5;F,354P) [i] based on function field F/F₃ with g(F) = 89 and N(F) ≥ 96, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3²⁰¹, 95, F₃, 5, 112) (dual of [(95, 5), 274, 113]-NRT-code), using algebraic-geometric NRT-code AG(5;F,362P) [i] based on function field F/F₃ with g(F) = 89 and N(F) ≥ 96 (see above)
3. linear OOA(3⁷, 3, F₃, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(5;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.