Information on Result #694600
Linear OA(2594, 317, F25, 52) (dual of [317, 223, 53]-code), using construction X applied to Ce(51) ⊂ Ce(48) based on
- linear OA(2592, 313, F25, 52) (dual of [313, 221, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2590, 313, F25, 49) (dual of [313, 223, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(252, 4, F25, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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 OA(2593, 316, F25, 51) (dual of [316, 223, 52]-code) | [i] | Truncation | |
| 2 | Linear OOA(2594, 158, F25, 2, 52) (dual of [(158, 2), 222, 53]-NRT-code) | [i] | OOA Folding | |