Information on Result #2273748
Linear OA(4249, 16422, F4, 46) (dual of [16422, 16173, 47]-code), using 3 times code embedding in larger space based on linear OA(4246, 16419, F4, 46) (dual of [16419, 16173, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(40) [i] based on
- linear OA(4239, 16384, F4, 46) (dual of [16384, 16145, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4211, 16384, F4, 41) (dual of [16384, 16173, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(4249, 14195, F4, 2, 46) (dual of [(14195, 2), 28141, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4249, 14195, F4, 3, 46) (dual of [(14195, 3), 42336, 47]-NRT-code) | [i] | ||
| 3 | Digital (203, 249, 14195)-net over F4 | [i] | ||