Information on Result #2272728
Linear OA(4141, 4128, F4, 30) (dual of [4128, 3987, 31]-code), using 1 times code embedding in larger space based on linear OA(4140, 4127, F4, 30) (dual of [4127, 3987, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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 OOA(4141, 3834, F4, 2, 30) (dual of [(3834, 2), 7527, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4141, 3834, F4, 3, 30) (dual of [(3834, 3), 11361, 31]-NRT-code) | [i] | ||
| 3 | Digital (111, 141, 3834)-net over F4 | [i] | ||
| 4 | Linear OOA(4141, 2064, F4, 2, 30) (dual of [(2064, 2), 3987, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4141, 1376, F4, 3, 30) (dual of [(1376, 3), 3987, 31]-NRT-code) | [i] | ||