Information on Result #675576
Linear OA(3164, 6602, F3, 29) (dual of [6602, 6438, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(311, 41, F3, 5) (dual of [41, 30, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- (u, u+v)-construction [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(3164, 4122, F3, 2, 29) (dual of [(4122, 2), 8080, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3164, 4122, F3, 3, 29) (dual of [(4122, 3), 12202, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3164, 4122, F3, 4, 29) (dual of [(4122, 4), 16324, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3164, 4122, F3, 5, 29) (dual of [(4122, 5), 20446, 30]-NRT-code) | [i] | ||
| 5 | Digital (135, 164, 4122)-net over F3 | [i] | ||