Information on Result #2255354
Linear OA(2589, 92, F25, 82) (dual of [92, 3, 83]-code), using 21 times truncation based on linear OA(25110, 113, F25, 103) (dual of [113, 3, 104]-code), using
- construction X applied to C([0,90]) ⊂ C([0,86]) [i] based on
- linear OA(25103, 104, F25, 103) (dual of [104, 1, 104]-code or 104-arc in PG(102,25)), using the expurgated narrow-sense BCH-code C(I) with length 104 | 252−1, defining interval I = [0,90], and minimum distance d ≥ |{2,17,32,…,−28}|+1 = 104 (BCH-bound) [i]
- linear OA(25101, 104, F25, 95) (dual of [104, 3, 96]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 252−1, defining interval I = [0,86], and minimum distance d ≥ |{−8,−7,…,86}|+1 = 96 (BCH-bound) [i]
- linear OA(257, 9, F25, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2589, 46, F25, 2, 82) (dual of [(46, 2), 3, 83]-NRT-code) | [i] | OOA Folding | |