Information on Result #678326
Linear OA(4235, 262217, F4, 33) (dual of [262217, 261982, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
- linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(418, 72, F4, 7) (dual of [72, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-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 OA(4235, 262217, F4, 32) (dual of [262217, 261982, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(4235, 145017, F4, 2, 33) (dual of [(145017, 2), 289799, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4235, 145017, F4, 3, 33) (dual of [(145017, 3), 434816, 34]-NRT-code) | [i] | ||
| 4 | Digital (202, 235, 145017)-net over F4 | [i] | ||