Information on Result #694663
Linear OA(2599, 320, F25, 55) (dual of [320, 221, 56]-code), using construction X applied to Ce(54) ⊂ Ce(51) based on
- linear OA(2597, 313, F25, 55) (dual of [313, 216, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- 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(252, 7, F25, 2) (dual of [7, 5, 3]-code or 7-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(25100, 321, F25, 55) (dual of [321, 221, 56]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2599, 160, F25, 2, 55) (dual of [(160, 2), 221, 56]-NRT-code) | [i] | OOA Folding | |