Information on Result #1457775
Linear OOA(25110, 318903, F25, 2, 28) (dual of [(318903, 2), 637696, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25110, 318903, F25, 28) (dual of [318903, 318793, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25110, 390650, F25, 28) (dual of [390650, 390540, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(25105, 390625, F25, 28) (dual of [390625, 390520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
Mode: 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(25110, 45557, F25, 30, 28) (dual of [(45557, 30), 1366600, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |