Information on Result #679151
Linear OA(4246, 16419, F4, 46) (dual of [16419, 16173, 47]-code), using construction X applied to Ce(45) ⊂ Ce(40) 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 OA(4247, 16420, F4, 46) (dual of [16420, 16173, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4248, 16421, F4, 46) (dual of [16421, 16173, 47]-code) | [i] | ||
| 3 | Linear OA(4249, 16422, F4, 46) (dual of [16422, 16173, 47]-code) | [i] | ||
| 4 | Linear OA(4250, 16423, F4, 46) (dual of [16423, 16173, 47]-code) | [i] | ||
| 5 | Linear OA(4251, 16424, F4, 46) (dual of [16424, 16173, 47]-code) | [i] | ||
| 6 | Linear OOA(4246, 12912, F4, 2, 46) (dual of [(12912, 2), 25578, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(4246, 12912, F4, 3, 46) (dual of [(12912, 3), 38490, 47]-NRT-code) | [i] | ||
| 8 | Digital (200, 246, 12912)-net over F4 | [i] | ||
| 9 | Linear OA(4249, 16423, F4, 46) (dual of [16423, 16174, 47]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(4250, 16425, F4, 46) (dual of [16425, 16175, 47]-code) | [i] | ||
| 11 | Linear OA(4251, 16427, F4, 46) (dual of [16427, 16176, 47]-code) | [i] | ||
| 12 | Linear OOA(4246, 8209, F4, 2, 46) (dual of [(8209, 2), 16172, 47]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(4246, 5473, F4, 3, 46) (dual of [(5473, 3), 16173, 47]-NRT-code) | [i] | ||