Information on Result #1365248
Linear OOA(4237, 524326, F4, 2, 30) (dual of [(524326, 2), 1048415, 31]-NRT-code), using OOA 2-folding based on linear OA(4237, 1048652, F4, 30) (dual of [1048652, 1048415, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4236, 1048651, F4, 30) (dual of [1048651, 1048415, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(415, 75, F4, 7) (dual of [75, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
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 OOA(4238, 524326, F4, 2, 30) (dual of [(524326, 2), 1048414, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4237, 524326, F4, 3, 30) (dual of [(524326, 3), 1572741, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (207, 237, 524326)-net over F4 | [i] | ||