Information on Result #662283
Linear OA(4257, 262170, F4, 35) (dual of [262170, 261913, 36]-code), using (u, u+v)-construction based on
- linear OA(422, 25, F4, 17) (dual of [25, 3, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 26, F4, 17) (dual of [26, 4, 18]-code), using
- 2 times truncation [i] based on linear OA(424, 28, F4, 19) (dual of [28, 4, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 26, F4, 17) (dual of [26, 4, 18]-code), using
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [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(4257, 205448, F4, 2, 35) (dual of [(205448, 2), 410639, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4257, 205448, F4, 3, 35) (dual of [(205448, 3), 616087, 36]-NRT-code) | [i] | ||
| 3 | Digital (222, 257, 205448)-net over F4 | [i] | ||