Information on Result #737565
Linear OA(5147, 15658, F5, 29) (dual of [15658, 15511, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(5139, 15625, F5, 29) (dual of [15625, 15486, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), 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(5147, 15658, F5, 2, 29) (dual of [(15658, 2), 31169, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5147, 15658, F5, 3, 29) (dual of [(15658, 3), 46827, 30]-NRT-code) | [i] | ||
| 3 | Digital (118, 147, 15658)-net over F5 | [i] | ||
| 4 | Linear OOA(5147, 7829, F5, 2, 29) (dual of [(7829, 2), 15511, 30]-NRT-code) | [i] | OOA Folding | |