Information on Result #737584
Linear OA(587, 15658, F5, 17) (dual of [15658, 15571, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(587, 15658, F5, 2, 17) (dual of [(15658, 2), 31229, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(587, 15658, F5, 3, 17) (dual of [(15658, 3), 46887, 18]-NRT-code) | [i] | ||
| 3 | Digital (70, 87, 15658)-net over F5 | [i] | ||
| 4 | Linear OOA(587, 7829, F5, 2, 17) (dual of [(7829, 2), 15571, 18]-NRT-code) | [i] | OOA Folding | |