Information on Result #2241333
Linear OA(4108, 4096, F4, 24) (dual of [4096, 3988, 25]-code), using 1 times truncation based on linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(4108, 2541, F4, 2, 24) (dual of [(2541, 2), 4974, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4108, 2541, F4, 3, 24) (dual of [(2541, 3), 7515, 25]-NRT-code) | [i] | ||
| 3 | Digital (84, 108, 2541)-net over F4 | [i] | ||
| 4 | Linear OA(4114, 4121, F4, 24) (dual of [4121, 4007, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4115, 4140, F4, 24) (dual of [4140, 4025, 25]-code) | [i] | ||
| 6 | Linear OA(4116, 4170, F4, 24) (dual of [4170, 4054, 25]-code) | [i] | ||
| 7 | Linear OA(4117, 4216, F4, 24) (dual of [4216, 4099, 25]-code) | [i] | ||
| 8 | Linear OA(4118, 4287, F4, 24) (dual of [4287, 4169, 25]-code) | [i] | ||
| 9 | Linear OA(4119, 4390, F4, 24) (dual of [4390, 4271, 25]-code) | [i] | ||
| 10 | Linear OA(4120, 4535, F4, 24) (dual of [4535, 4415, 25]-code) | [i] | ||
| 11 | Linear OA(4121, 4727, F4, 24) (dual of [4727, 4606, 25]-code) | [i] | ||
| 12 | Linear OA(4122, 4966, F4, 24) (dual of [4966, 4844, 25]-code) | [i] | ||
| 13 | Linear OA(4123, 5245, F4, 24) (dual of [5245, 5122, 25]-code) | [i] | ||
| 14 | Linear OOA(4108, 2048, F4, 2, 24) (dual of [(2048, 2), 3988, 25]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(4108, 1365, F4, 3, 24) (dual of [(1365, 3), 3987, 25]-NRT-code) | [i] | ||