Information on Result #1323486
Linear OA(4258, 4194385, F4, 30) (dual of [4194385, 4194127, 31]-code), using construction X applied to Ce(29) ⊂ Ce(21) based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(415, 81, F4, 7) (dual of [81, 66, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
Mode: 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(4259, 4194386, F4, 30) (dual of [4194386, 4194127, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4260, 4194387, F4, 30) (dual of [4194387, 4194127, 31]-code) | [i] | ||
| 3 | Linear OOA(4258, 2097192, F4, 2, 30) (dual of [(2097192, 2), 4194126, 31]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4258, 1398128, F4, 3, 30) (dual of [(1398128, 3), 4194126, 31]-NRT-code) | [i] | ||