Information on Result #694244
Linear OA(2582, 645, F25, 40) (dual of [645, 563, 41]-code), using construction X applied to Ce(39) ⊂ Ce(32) based on
- linear OA(2576, 625, F25, 40) (dual of [625, 549, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2562, 625, F25, 33) (dual of [625, 563, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(256, 20, F25, 6) (dual of [20, 14, 7]-code or 20-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(2582, 580, F25, 2, 40) (dual of [(580, 2), 1078, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (42, 82, 580)-net over F25 | [i] | ||