Information on Result #679493
Linear OA(482, 4121, F4, 17) (dual of [4121, 4039, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(473, 4097, F4, 17) (dual of [4097, 4024, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(449, 4097, F4, 11) (dual of [4097, 4048, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(49, 24, F4, 5) (dual of [24, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), 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(482, 3806, F4, 2, 17) (dual of [(3806, 2), 7530, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(482, 3806, F4, 3, 17) (dual of [(3806, 3), 11336, 18]-NRT-code) | [i] | ||
| 3 | Digital (65, 82, 3806)-net over F4 | [i] | ||