Information on Result #2244359
Linear OA(4198, 4095, F4, 44) (dual of [4095, 3897, 45]-code), using 1 times truncation based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(4198, 3637, F4, 2, 44) (dual of [(3637, 2), 7076, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4198, 3637, F4, 3, 44) (dual of [(3637, 3), 10713, 45]-NRT-code) | [i] | ||
| 3 | Digital (154, 198, 3637)-net over F4 | [i] | ||
| 4 | Linear OA(4227, 4125, F4, 44) (dual of [4125, 3898, 45]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4202, 4120, F4, 44) (dual of [4120, 3918, 45]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(4203, 4145, F4, 44) (dual of [4145, 3942, 45]-code) | [i] | ||
| 7 | Linear OA(4204, 4190, F4, 44) (dual of [4190, 3986, 45]-code) | [i] | ||
| 8 | Linear OA(4205, 4261, F4, 44) (dual of [4261, 4056, 45]-code) | [i] | ||
| 9 | Linear OA(4206, 4361, F4, 44) (dual of [4361, 4155, 45]-code) | [i] | ||
| 10 | Linear OA(4207, 4485, F4, 44) (dual of [4485, 4278, 45]-code) | [i] | ||
| 11 | Linear OA(4208, 4624, F4, 44) (dual of [4624, 4416, 45]-code) | [i] | ||
| 12 | Linear OA(4209, 4772, F4, 44) (dual of [4772, 4563, 45]-code) | [i] | ||
| 13 | Linear OA(4210, 4927, F4, 44) (dual of [4927, 4717, 45]-code) | [i] | ||
| 14 | Linear OOA(4198, 2047, F4, 2, 44) (dual of [(2047, 2), 3896, 45]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(4198, 1365, F4, 3, 44) (dual of [(1365, 3), 3897, 45]-NRT-code) | [i] | ||