Information on Result #678035
Linear OA(4248, 4194386, F4, 28) (dual of [4194386, 4194138, 29]-code), using construction X applied to Ce(28) ⊂ Ce(20) 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(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(416, 82, F4, 6) (dual of [82, 66, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-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(4251, 4194389, F4, 28) (dual of [4194389, 4194138, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4251, 4194390, F4, 28) (dual of [4194390, 4194139, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4248, 2097193, F4, 2, 28) (dual of [(2097193, 2), 4194138, 29]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4248, 1398128, F4, 3, 28) (dual of [(1398128, 3), 4194136, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(4248, 299599, F4, 28, 28) (dual of [(299599, 28), 8388524, 29]-NRT-code) | [i] | OA Folding and Stacking | |