Information on Result #1307884
Linear OA(4116, 4170, F4, 24) (dual of [4170, 4054, 25]-code), using 66 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 9 times 0, 1, 17 times 0, 1, 28 times 0) based on linear OA(4108, 4096, F4, 24) (dual of [4096, 3988, 25]-code), using
- 1 times truncation [i] 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: 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(4116, 4170, F4, 2, 24) (dual of [(4170, 2), 8224, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4116, 4170, F4, 3, 24) (dual of [(4170, 3), 12394, 25]-NRT-code) | [i] | ||
| 3 | Digital (92, 116, 4170)-net over F4 | [i] | ||
| 4 | Linear OOA(4116, 2085, F4, 2, 24) (dual of [(2085, 2), 4054, 25]-NRT-code) | [i] | OOA Folding | |