Information on Result #2244534
Linear OA(4234, 4095, F4, 52) (dual of [4095, 3861, 53]-code), using 1 times truncation based on linear OA(4235, 4096, F4, 53) (dual of [4096, 3861, 54]-code), using
- an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [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 OA(4260, 4122, F4, 52) (dual of [4122, 3862, 53]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(4234, 4095, F4, 2, 52) (dual of [(4095, 2), 7956, 53]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4234, 4095, F4, 3, 52) (dual of [(4095, 3), 12051, 53]-NRT-code) | [i] | ||
| 4 | Digital (182, 234, 4095)-net over F4 | [i] | ||
| 5 | Linear OA(4235, 4106, F4, 52) (dual of [4106, 3871, 53]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(4236, 4137, F4, 52) (dual of [4137, 3901, 53]-code) | [i] | ||
| 7 | Linear OA(4237, 4204, F4, 52) (dual of [4204, 3967, 53]-code) | [i] | ||
| 8 | Linear OA(4238, 4301, F4, 52) (dual of [4301, 4063, 53]-code) | [i] | ||
| 9 | Linear OA(4239, 4414, F4, 52) (dual of [4414, 4175, 53]-code) | [i] | ||
| 10 | Linear OA(4240, 4534, F4, 52) (dual of [4534, 4294, 53]-code) | [i] | ||
| 11 | Linear OA(4241, 4658, F4, 52) (dual of [4658, 4417, 53]-code) | [i] | ||
| 12 | Linear OOA(4234, 2047, F4, 2, 52) (dual of [(2047, 2), 3860, 53]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(4234, 1365, F4, 3, 52) (dual of [(1365, 3), 3861, 53]-NRT-code) | [i] | ||