Information on Result #662284
Linear OA(4258, 262172, F4, 35) (dual of [262172, 261914, 36]-code), using (u, u+v)-construction based on
- linear OA(423, 27, F4, 17) (dual of [27, 4, 18]-code), using
- juxtaposition [i] based on
- linear OA(46, 10, F4, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using
- linear OA(46, 10, F4, 5) (dual of [10, 4, 6]-code), using
- juxtaposition [i] based on
- 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(4258, 214264, F4, 2, 35) (dual of [(214264, 2), 428270, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4258, 214264, F4, 3, 35) (dual of [(214264, 3), 642534, 36]-NRT-code) | [i] | ||
| 3 | Digital (223, 258, 214264)-net over F4 | [i] | ||