MinT - Information on Result #2639539

Information on Result #2639539

Linear OOA(5⁶⁹, 55, F₅, 3, 39) (dual of [(55, 3), 96, 40]-NRT-code), using strength reduction based on linear OOA(5⁶⁹, 55, F₅, 3, 40) (dual of [(55, 3), 96, 41]-NRT-code), using

constructionÂ X applied to AG(3;F,109P) âŠ‚ AG(3;F,117P) [i] based on
1. linear OOA(5⁶², 50, F₅, 3, 40) (dual of [(50, 3), 88, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,109P) [i] based on function field F/F₅ with g(F) = 22 and N(F) ≥ 51, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁵⁴, 50, F₅, 3, 32) (dual of [(50, 3), 96, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,117P) [i] based on function field F/F₅ with g(F) = 22 and N(F) ≥ 51 (see above)
3. linear OOA(5⁷, 5, F₅, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;8,5) [i]

Mode: Constructive and 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.