Information on Result #2235179
Linear OA(3236, 3280, F3, 45) (dual of [3280, 3044, 46]-code), using 1 times truncation based on linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using
- an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
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(3236, 3280, F3, 2, 45) (dual of [(3280, 2), 6324, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3236, 3280, F3, 3, 45) (dual of [(3280, 3), 9604, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(3236, 3280, F3, 4, 45) (dual of [(3280, 4), 12884, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3236, 3280, F3, 5, 45) (dual of [(3280, 5), 16164, 46]-NRT-code) | [i] | ||
| 5 | Digital (191, 236, 3280)-net over F3 | [i] | ||
| 6 | Linear OA(3237, 3301, F3, 45) (dual of [3301, 3064, 46]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3238, 3342, F3, 45) (dual of [3342, 3104, 46]-code) | [i] | ||
| 8 | Linear OA(3239, 3405, F3, 45) (dual of [3405, 3166, 46]-code) | [i] | ||
| 9 | Linear OOA(3236, 1640, F3, 2, 45) (dual of [(1640, 2), 3044, 46]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3236, 1093, F3, 3, 45) (dual of [(1093, 3), 3043, 46]-NRT-code) | [i] | ||
| 11 | Linear OOA(3236, 820, F3, 4, 45) (dual of [(820, 4), 3044, 46]-NRT-code) | [i] | ||
| 12 | Linear OOA(3236, 656, F3, 5, 45) (dual of [(656, 5), 3044, 46]-NRT-code) | [i] | ||