Information on Result #2273050
Linear OA(4250, 262231, F4, 34) (dual of [262231, 261981, 35]-code), using 3 times code embedding in larger space based on linear OA(4247, 262228, F4, 34) (dual of [262228, 261981, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- 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]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-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 OOA(4250, 206293, F4, 2, 34) (dual of [(206293, 2), 412336, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4250, 206293, F4, 3, 34) (dual of [(206293, 3), 618629, 35]-NRT-code) | [i] | ||
| 3 | Digital (216, 250, 206293)-net over F4 | [i] | ||