Information on Result #1305352
Linear OA(3220, 2239, F3, 45) (dual of [2239, 2019, 46]-code), using 43 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 13 times 0) based on linear OA(3210, 2186, F3, 45) (dual of [2186, 1976, 46]-code), using
- 1 times truncation [i] based on linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using
- an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
Mode: 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(3220, 2232, F3, 2, 45) (dual of [(2232, 2), 4244, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3220, 2232, F3, 3, 45) (dual of [(2232, 3), 6476, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(3220, 2232, F3, 4, 45) (dual of [(2232, 4), 8708, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3220, 2232, F3, 5, 45) (dual of [(2232, 5), 10940, 46]-NRT-code) | [i] | ||
| 5 | Digital (175, 220, 2232)-net over F3 | [i] | ||