Information on Result #642455
Linear OA(25109, 112, F25, 101) (dual of [112, 3, 102]-code), using juxtaposition based on
- linear OA(255, 8, F25, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- 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]
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 OA(25109, 112, F25, 100) (dual of [112, 3, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(25109, 56, F25, 2, 101) (dual of [(56, 2), 3, 102]-NRT-code) | [i] | OOA Folding | |