Information on Result #694220
Linear OA(2560, 642, F25, 29) (dual of [642, 582, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(2554, 625, F25, 29) (dual of [625, 571, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2543, 625, F25, 22) (dual of [625, 582, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(256, 17, F25, 6) (dual of [17, 11, 7]-code or 17-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
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(2560, 321, F25, 2, 29) (dual of [(321, 2), 582, 30]-NRT-code) | [i] | OOA Folding | |