Information on Result #962491
Linear OOA(4141, 5473, F4, 3, 26) (dual of [(5473, 3), 16278, 27]-NRT-code), using OOA 3-folding based on linear OA(4141, 16419, F4, 26) (dual of [16419, 16278, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4144, 5474, F4, 3, 26) (dual of [(5474, 3), 16278, 27]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4142, 5473, F4, 3, 26) (dual of [(5473, 3), 16277, 27]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4143, 5473, F4, 3, 26) (dual of [(5473, 3), 16276, 27]-NRT-code) | [i] | ||