Information on Result #676365
Linear OA(3124, 743, F3, 30) (dual of [743, 619, 31]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) 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(3109, 730, F3, 27) (dual of [730, 621, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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(3124, 680, F3, 2, 30) (dual of [(680, 2), 1236, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3124, 680, F3, 3, 30) (dual of [(680, 3), 1916, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 680, F3, 4, 30) (dual of [(680, 4), 2596, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 680, F3, 5, 30) (dual of [(680, 5), 3276, 31]-NRT-code) | [i] | ||
| 5 | Digital (94, 124, 680)-net over F3 | [i] | ||