Information on Result #684896
Linear OA(753, 2414, F7, 15) (dual of [2414, 2361, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(741, 2402, F7, 11) (dual of [2402, 2361, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(74, 12, F7, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,7)), using
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(753, 2260, F7, 2, 15) (dual of [(2260, 2), 4467, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(753, 2260, F7, 3, 15) (dual of [(2260, 3), 6727, 16]-NRT-code) | [i] | ||
| 3 | Digital (38, 53, 2260)-net over F7 | [i] | ||