Information on Result #679154
Linear OA(4232, 16419, F4, 43) (dual of [16419, 16187, 44]-code), using construction X applied to Ce(42) ⊂ Ce(37) based on
- linear OA(4225, 16384, F4, 43) (dual of [16384, 16159, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(4233, 16420, F4, 43) (dual of [16420, 16187, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4234, 16421, F4, 43) (dual of [16421, 16187, 44]-code) | [i] | ||
| 3 | Linear OOA(4232, 13238, F4, 2, 43) (dual of [(13238, 2), 26244, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(4232, 13238, F4, 3, 43) (dual of [(13238, 3), 39482, 44]-NRT-code) | [i] | ||
| 5 | Digital (189, 232, 13238)-net over F4 | [i] | ||
| 6 | Linear OOA(4232, 8209, F4, 2, 43) (dual of [(8209, 2), 16186, 44]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4232, 5473, F4, 3, 43) (dual of [(5473, 3), 16187, 44]-NRT-code) | [i] | ||