Information on Result #1305429
Linear OA(3226, 2299, F3, 46) (dual of [2299, 2073, 47]-code), using 97 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 8 times 0, 1, 10 times 0, 1, 14 times 0, 1, 18 times 0, 1, 23 times 0) 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(3226, 2299, F3, 2, 46) (dual of [(2299, 2), 4372, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3226, 2299, F3, 3, 46) (dual of [(2299, 3), 6671, 47]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 2299, F3, 4, 46) (dual of [(2299, 4), 8970, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 2299, F3, 5, 46) (dual of [(2299, 5), 11269, 47]-NRT-code) | [i] | ||
| 5 | Digital (180, 226, 2299)-net over F3 | [i] | ||
| 6 | Linear OOA(3226, 1149, F3, 2, 46) (dual of [(1149, 2), 2072, 47]-NRT-code) | [i] | OOA Folding | |