Information on Result #2243115
Linear OA(4144, 4096, F4, 32) (dual of [4096, 3952, 33]-code), using 1 times truncation based on linear OA(4145, 4097, F4, 33) (dual of [4097, 3952, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [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(4144, 2952, F4, 2, 32) (dual of [(2952, 2), 5760, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4144, 2952, F4, 3, 32) (dual of [(2952, 3), 8712, 33]-NRT-code) | [i] | ||
| 3 | Digital (112, 144, 2952)-net over F4 | [i] | ||
| 4 | Linear OA(4150, 4122, F4, 32) (dual of [4122, 3972, 33]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4151, 4141, F4, 32) (dual of [4141, 3990, 33]-code) | [i] | ||
| 6 | Linear OA(4152, 4172, F4, 32) (dual of [4172, 4020, 33]-code) | [i] | ||
| 7 | Linear OA(4153, 4220, F4, 32) (dual of [4220, 4067, 33]-code) | [i] | ||
| 8 | Linear OA(4154, 4290, F4, 32) (dual of [4290, 4136, 33]-code) | [i] | ||
| 9 | Linear OA(4155, 4390, F4, 32) (dual of [4390, 4235, 33]-code) | [i] | ||
| 10 | Linear OA(4156, 4522, F4, 32) (dual of [4522, 4366, 33]-code) | [i] | ||
| 11 | Linear OA(4157, 4687, F4, 32) (dual of [4687, 4530, 33]-code) | [i] | ||
| 12 | Linear OA(4158, 4878, F4, 32) (dual of [4878, 4720, 33]-code) | [i] | ||
| 13 | Linear OA(4159, 5090, F4, 32) (dual of [5090, 4931, 33]-code) | [i] | ||
| 14 | Linear OOA(4144, 2048, F4, 2, 32) (dual of [(2048, 2), 3952, 33]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(4144, 1365, F4, 3, 32) (dual of [(1365, 3), 3951, 33]-NRT-code) | [i] | ||