Information on Result #1323529
Linear OA(4251, 1048666, F4, 31) (dual of [1048666, 1048415, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(420, 90, F4, 8) (dual of [90, 70, 9]-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(4252, 1048667, F4, 31) (dual of [1048667, 1048415, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4253, 1048668, F4, 31) (dual of [1048668, 1048415, 32]-code) | [i] | ||
| 3 | Linear OOA(4251, 524333, F4, 2, 31) (dual of [(524333, 2), 1048415, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4251, 349555, F4, 3, 31) (dual of [(349555, 3), 1048414, 32]-NRT-code) | [i] | ||