Information on Result #693185
Linear OA(2591, 390639, F25, 23) (dual of [390639, 390548, 24]-code), using construction X applied to Ce(22) ⊂ Ce(19) based on
- 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(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(252, 14, F25, 2) (dual of [14, 12, 3]-code or 14-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(25106, 390705, F25, 23) (dual of [390705, 390599, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25107, 390707, F25, 23) (dual of [390707, 390600, 24]-code) | [i] | ||
| 3 | Linear OOA(2591, 354356, F25, 2, 23) (dual of [(354356, 2), 708621, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (68, 91, 354356)-net over F25 | [i] | ||
| 5 | Linear OOA(2591, 195319, F25, 2, 23) (dual of [(195319, 2), 390547, 24]-NRT-code) | [i] | OOA Folding | |