Information on Result #1323487
Linear OA(4247, 4194385, F4, 29) (dual of [4194385, 4194138, 30]-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(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(4247, 4194385, F4, 28) (dual of [4194385, 4194138, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4248, 4194386, F4, 29) (dual of [4194386, 4194138, 30]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4249, 4194387, F4, 29) (dual of [4194387, 4194138, 30]-code) | [i] | ||
| 4 | Linear OA(4246, 4194384, F4, 28) (dual of [4194384, 4194138, 29]-code) | [i] | Truncation | |
| 5 | Linear OA(4251, 4194390, F4, 29) (dual of [4194390, 4194139, 30]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(4252, 4194392, F4, 29) (dual of [4194392, 4194140, 30]-code) | [i] | ||
| 7 | Linear OOA(4247, 2097192, F4, 2, 29) (dual of [(2097192, 2), 4194137, 30]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4247, 1398128, F4, 3, 29) (dual of [(1398128, 3), 4194137, 30]-NRT-code) | [i] | ||