Information on Result #677928
Linear OA(4236, 4194330, F4, 29) (dual of [4194330, 4194094, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4210, 4194304, F4, 26) (dual of [4194304, 4194094, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(44, 26, F4, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- Hamming code H(4,4) [i]
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-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(4235, 4194329, F4, 28) (dual of [4194329, 4194094, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(4236, 2097165, F4, 2, 29) (dual of [(2097165, 2), 4194094, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4236, 1398110, F4, 3, 29) (dual of [(1398110, 3), 4194094, 30]-NRT-code) | [i] | ||