Information on Result #662300
Linear OA(4248, 262169, F4, 34) (dual of [262169, 261921, 35]-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(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4248, 189169, F4, 2, 34) (dual of [(189169, 2), 378090, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4248, 189169, F4, 3, 34) (dual of [(189169, 3), 567259, 35]-NRT-code) | [i] | ||
| 3 | Digital (214, 248, 189169)-net over F4 | [i] | ||