Information on Result #675593
Linear OA(3116, 6602, F3, 20) (dual of [6602, 6486, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(373, 6561, F3, 14) (dual of [6561, 6488, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(3116, 4204, F3, 2, 20) (dual of [(4204, 2), 8292, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3116, 4204, F3, 3, 20) (dual of [(4204, 3), 12496, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3116, 4204, F3, 4, 20) (dual of [(4204, 4), 16700, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3116, 4204, F3, 5, 20) (dual of [(4204, 5), 20904, 21]-NRT-code) | [i] | ||
| 5 | Digital (96, 116, 4204)-net over F3 | [i] | ||