Information on Result #682269
Linear OA(534, 390634, F5, 6) (dual of [390634, 390600, 7]-code), using construction X applied to Ce(5) ⊂ Ce(3) based on
- linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(525, 390625, F5, 4) (dual of [390625, 390600, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(534, 323216, F5, 2, 6) (dual of [(323216, 2), 646398, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(534, 323216, F5, 3, 6) (dual of [(323216, 3), 969614, 7]-NRT-code) | [i] | ||
| 3 | Digital (28, 34, 323216)-net over F5 | [i] | ||
| 4 | Linear OOA(534, 195317, F5, 2, 6) (dual of [(195317, 2), 390600, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(534, 130211, F5, 3, 6) (dual of [(130211, 3), 390599, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(534, 130211, F5, 6, 6) (dual of [(130211, 6), 781232, 7]-NRT-code) | [i] | OA Folding and Stacking | |