Information on Result #1323489
Linear OA(4203, 4194385, F4, 23) (dual of [4194385, 4194182, 24]-code), using construction X applied to Ce(22) ⊂ Ce(14) based on
- linear OA(4188, 4194304, F4, 23) (dual of [4194304, 4194116, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4122, 4194304, F4, 15) (dual of [4194304, 4194182, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(4204, 4194386, F4, 23) (dual of [4194386, 4194182, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4203, 2097192, F4, 2, 23) (dual of [(2097192, 2), 4194181, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4203, 1398128, F4, 3, 23) (dual of [(1398128, 3), 4194181, 24]-NRT-code) | [i] | ||