Information on Result #693472
Linear OA(2589, 15632, F25, 31) (dual of [15632, 15543, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) based on
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(25108, 15698, F25, 31) (dual of [15698, 15590, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25109, 15700, F25, 31) (dual of [15700, 15591, 32]-code) | [i] | ||
| 3 | Linear OA(25110, 15702, F25, 31) (dual of [15702, 15592, 32]-code) | [i] | ||
| 4 | Linear OOA(2589, 8476, F25, 2, 31) (dual of [(8476, 2), 16863, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (58, 89, 8476)-net over F25 | [i] | ||
| 6 | Linear OOA(2589, 7816, F25, 2, 31) (dual of [(7816, 2), 15543, 32]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2589, 1042, F25, 31, 31) (dual of [(1042, 31), 32213, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |