MinT - Information on Result #659702

Information on Result #659702

Linear OA(5⁸⁴, 148, F₅, 34) (dual of [148, 64, 35]-code), using trace code based on linear OA(25⁴², 74, F₂₅, 34) (dual of [74, 32, 35]-code), using

constructionÂ X applied to AG(F,30P) âŠ‚ AG(F,35P) [i] based on
1. linear OA(25³⁸, 65, F₂₅, 34) (dual of [65, 27, 35]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(25³³, 65, F₂₅, 29) (dual of [65, 32, 30]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66 (see above)
3. linear OA(25⁴, 9, F₂₅, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
  - discarding factors / shortening the dual code based on linear OA(25⁴, 25, F₂₅, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
    - Reedâ€“Solomon code RS(21,25) [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.