Information on Result #679709
Linear OA(4130, 4117, F4, 28) (dual of [4117, 3987, 29]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
- linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(4130, 3394, F4, 2, 28) (dual of [(3394, 2), 6658, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4130, 3394, F4, 3, 28) (dual of [(3394, 3), 10052, 29]-NRT-code) | [i] | ||
| 3 | Digital (102, 130, 3394)-net over F4 | [i] | ||
| 4 | Linear OA(4132, 4121, F4, 28) (dual of [4121, 3989, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4132, 4120, F4, 28) (dual of [4120, 3988, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(4133, 4122, F4, 28) (dual of [4122, 3989, 29]-code) | [i] | ||
| 7 | Linear OOA(4130, 2058, F4, 2, 28) (dual of [(2058, 2), 3986, 29]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4130, 1372, F4, 3, 28) (dual of [(1372, 3), 3986, 29]-NRT-code) | [i] | ||