Information on Result #676433
Linear OA(3129, 758, F3, 31) (dual of [758, 629, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
- linear OA(3121, 730, F3, 31) (dual of [730, 609, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(397, 730, F3, 25) (dual of [730, 633, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [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
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(3129, 719, F3, 2, 31) (dual of [(719, 2), 1309, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3129, 719, F3, 3, 31) (dual of [(719, 3), 2028, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(3129, 719, F3, 4, 31) (dual of [(719, 4), 2747, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3129, 719, F3, 5, 31) (dual of [(719, 5), 3466, 32]-NRT-code) | [i] | ||
| 5 | Digital (98, 129, 719)-net over F3 | [i] | ||