Information on Result #682317
Linear OA(568, 390652, F5, 10) (dual of [390652, 390584, 11]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(565, 390625, F5, 11) (dual of [390625, 390560, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(541, 390625, F5, 7) (dual of [390625, 390584, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(53, 27, F5, 2) (dual of [27, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-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(568, 390652, F5, 2, 10) (dual of [(390652, 2), 781236, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(568, 390652, F5, 3, 10) (dual of [(390652, 3), 1171888, 11]-NRT-code) | [i] | ||
| 3 | Digital (58, 68, 390652)-net over F5 | [i] | ||
| 4 | Linear OOA(568, 195326, F5, 2, 10) (dual of [(195326, 2), 390584, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(568, 130217, F5, 3, 10) (dual of [(130217, 3), 390583, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(568, 78130, F5, 10, 10) (dual of [(78130, 10), 781232, 11]-NRT-code) | [i] | OA Folding and Stacking | |