Information on Result #679160
Linear OA(4190, 16419, F4, 35) (dual of [16419, 16229, 36]-code), using construction X applied to Ce(34) ⊂ Ce(29) based on
- linear OA(4183, 16384, F4, 35) (dual of [16384, 16201, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(4191, 16420, F4, 35) (dual of [16420, 16229, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4192, 16421, F4, 35) (dual of [16421, 16229, 36]-code) | [i] | ||
| 3 | Linear OOA(4190, 12288, F4, 2, 35) (dual of [(12288, 2), 24386, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(4190, 12288, F4, 3, 35) (dual of [(12288, 3), 36674, 36]-NRT-code) | [i] | ||
| 5 | Digital (155, 190, 12288)-net over F4 | [i] | ||
| 6 | Linear OOA(4190, 8209, F4, 2, 35) (dual of [(8209, 2), 16228, 36]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4190, 5473, F4, 3, 35) (dual of [(5473, 3), 16229, 36]-NRT-code) | [i] | ||