Information on Result #613318
Linear OA(4253, 4097, F4, 57) (dual of [4097, 3844, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound)
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(4252, 4096, F4, 56) (dual of [4096, 3844, 57]-code) | [i] | Truncation | |
| 2 | Linear OA(4255, 4118, F4, 57) (dual of [4118, 3863, 58]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4256, 4160, F4, 57) (dual of [4160, 3904, 58]-code) | [i] | ||
| 4 | Linear OA(4257, 4234, F4, 57) (dual of [4234, 3977, 58]-code) | [i] | ||
| 5 | Linear OA(4258, 4330, F4, 57) (dual of [4330, 4072, 58]-code) | [i] | ||
| 6 | Linear OA(4259, 4435, F4, 57) (dual of [4435, 4176, 58]-code) | [i] | ||
| 7 | Linear OA(4260, 4545, F4, 57) (dual of [4545, 4285, 58]-code) | [i] | ||
| 8 | Linear OA(4254, 4110, F4, 55) (dual of [4110, 3856, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(4256, 4103, F4, 57) (dual of [4103, 3847, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4257, 4113, F4, 57) (dual of [4113, 3856, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(4259, 4118, F4, 56) (dual of [4118, 3859, 57]-code) | [i] | ✔ | |
| 12 | Linear OA(4260, 4128, F4, 56) (dual of [4128, 3868, 57]-code) | [i] | ✔ | |
| 13 | Linear OA(4257, 4114, F4, 55) (dual of [4114, 3857, 56]-code) | [i] | ✔ | |
| 14 | Linear OA(4258, 4126, F4, 55) (dual of [4126, 3868, 56]-code) | [i] | ✔ | |
| 15 | Linear OA(4256, 4118, F4, 54) (dual of [4118, 3862, 55]-code) | [i] | ✔ | |
| 16 | Linear OA(4260, 4140, F4, 54) (dual of [4140, 3880, 55]-code) | [i] | ✔ | |