Information on Result #953619
Linear OOA(3189, 59053, F3, 3, 26) (dual of [(59053, 3), 176970, 27]-NRT-code), using OOA 3-folding based on linear OA(3189, 177159, F3, 26) (dual of [177159, 176970, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3188, 177158, F3, 26) (dual of [177158, 176970, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(30, 11, F3, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
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(3190, 59053, F3, 3, 26) (dual of [(59053, 3), 176969, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3191, 59053, F3, 3, 26) (dual of [(59053, 3), 176968, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3189, 48919, F3, 4, 26) (dual of [(48919, 4), 195487, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3189, 48919, F3, 5, 26) (dual of [(48919, 5), 244406, 27]-NRT-code) | [i] | ||
| 5 | Digital (163, 189, 48919)-net over F3 | [i] | ||