Information on Result #693204
Linear OA(25109, 390645, F25, 28) (dual of [390645, 390536, 29]-code), using construction X applied to Ce(27) ⊂ Ce(22) 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(2589, 390625, F25, 23) (dual of [390625, 390536, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(254, 20, F25, 4) (dual of [20, 16, 5]-code or 20-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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(25109, 281767, F25, 2, 28) (dual of [(281767, 2), 563425, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (81, 109, 281767)-net over F25 | [i] | ||
| 3 | Linear OOA(25109, 195322, F25, 2, 28) (dual of [(195322, 2), 390535, 29]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(25109, 27903, F25, 28, 28) (dual of [(27903, 28), 781175, 29]-NRT-code) | [i] | OA Folding and Stacking | |