Information on Result #737574
Linear OA(5124, 15664, F5, 24) (dual of [15664, 15540, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) based on
- linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(59, 39, F5, 5) (dual of [39, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 44, F5, 5) (dual of [44, 35, 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(5124, 15664, F5, 2, 24) (dual of [(15664, 2), 31204, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5124, 15664, F5, 3, 24) (dual of [(15664, 3), 46868, 25]-NRT-code) | [i] | ||
| 3 | Digital (100, 124, 15664)-net over F5 | [i] | ||
| 4 | Linear OA(5125, 15666, F5, 24) (dual of [15666, 15541, 25]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(5124, 7832, F5, 2, 24) (dual of [(7832, 2), 15540, 25]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(5124, 5221, F5, 3, 24) (dual of [(5221, 3), 15539, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(5124, 1305, F5, 24, 24) (dual of [(1305, 24), 31196, 25]-NRT-code) | [i] | OA Folding and Stacking | |