Information on Result #737583
Linear OA(594, 15664, F5, 18) (dual of [15664, 15570, 19]-code), using construction X applied to Ce(17) ⊂ Ce(11) based on
- 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(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(594, 15664, F5, 2, 18) (dual of [(15664, 2), 31234, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(594, 15664, F5, 3, 18) (dual of [(15664, 3), 46898, 19]-NRT-code) | [i] | ||
| 3 | Digital (76, 94, 15664)-net over F5 | [i] | ||
| 4 | Linear OA(595, 15666, F5, 18) (dual of [15666, 15571, 19]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(594, 7832, F5, 2, 18) (dual of [(7832, 2), 15570, 19]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(594, 5221, F5, 3, 18) (dual of [(5221, 3), 15569, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(594, 1740, F5, 18, 18) (dual of [(1740, 18), 31226, 19]-NRT-code) | [i] | OA Folding and Stacking | |