MinT - Information on Result #2889251

Information on Result #2889251

Linear OOA(3¹⁷⁹, 86, F₃, 5, 100) (dual of [(86, 5), 251, 101]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁹, 86, F₃, 5, 101) (dual of [(86, 5), 251, 102]-NRT-code), using

constructionÂ X applied to AG(5;F,313P) âŠ‚ AG(5;F,321P) [i] based on
1. linear OOA(3¹⁷², 83, F₃, 5, 101) (dual of [(83, 5), 243, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,313P) [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(3¹⁶⁴, 83, F₃, 5, 93) (dual of [(83, 5), 251, 94]-NRT-code), using algebraic-geometric NRT-code AG(5;F,321P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (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.