Information on Result #681277
Linear OA(434, 266, F4, 11) (dual of [266, 232, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(433, 257, F4, 11) (dual of [257, 224, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(425, 257, F4, 9) (dual of [257, 232, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(434, 217, F4, 2, 11) (dual of [(217, 2), 400, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(434, 217, F4, 3, 11) (dual of [(217, 3), 617, 12]-NRT-code) | [i] | ||
| 3 | Digital (23, 34, 217)-net over F4 | [i] | ||
| 4 | Linear OOA(434, 133, F4, 2, 11) (dual of [(133, 2), 232, 12]-NRT-code) | [i] | OOA Folding | |