Information on Result #642456
Linear OA(25110, 113, F25, 102) (dual of [113, 3, 103]-code), using juxtaposition based on
- linear OA(256, 9, F25, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), 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(25110, 113, F25, 101) (dual of [113, 3, 102]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25106, 109, F25, 98) (dual of [109, 3, 99]-code) | [i] | Truncation | |
| 3 | Linear OA(25105, 108, F25, 97) (dual of [108, 3, 98]-code) | [i] | ||
| 4 | Linear OA(25102, 105, F25, 94) (dual of [105, 3, 95]-code) | [i] | ||
| 5 | Linear OA(25100, 103, F25, 92) (dual of [103, 3, 93]-code) | [i] | ||
| 6 | Linear OA(2599, 102, F25, 91) (dual of [102, 3, 92]-code) | [i] | ||
| 7 | Linear OA(2598, 101, F25, 90) (dual of [101, 3, 91]-code) | [i] | ||
| 8 | Linear OA(2596, 99, F25, 88) (dual of [99, 3, 89]-code) | [i] | ||
| 9 | Linear OA(2595, 98, F25, 87) (dual of [98, 3, 88]-code) | [i] | ||
| 10 | Linear OA(2594, 97, F25, 86) (dual of [97, 3, 87]-code) | [i] | ||
| 11 | Linear OA(2592, 95, F25, 84) (dual of [95, 3, 85]-code) | [i] | ||
| 12 | Linear OA(2591, 94, F25, 83) (dual of [94, 3, 84]-code) | [i] | ||