MinT - Information on Result #863444

Information on Result #863444

Linear OOA(25⁷³, 78, F₂₅, 2, 50) (dual of [(78, 2), 83, 51]-NRT-code), using OOA 2-folding based on linear OA(25⁷³, 156, F₂₅, 50) (dual of [156, 83, 51]-code), using

constructionÂ X applied to AG(F,96P) âŠ‚ AG(F,101P) [i] based on
1. linear OA(25⁶⁹, 147, F₂₅, 50) (dual of [147, 78, 51]-code), using algebraic-geometric code AG(F,96P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(25⁶⁴, 147, F₂₅, 45) (dual of [147, 83, 46]-code), using algebraic-geometric code AG(F,101P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148 (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.