Information on Result #1308455
Linear OA(4190, 4168, F4, 41) (dual of [4168, 3978, 42]-code), using 62 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 15 times 0, 1, 23 times 0) based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(4190, 4168, F4, 2, 41) (dual of [(4168, 2), 8146, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4190, 4168, F4, 3, 41) (dual of [(4168, 3), 12314, 42]-NRT-code) | [i] | ||
| 3 | Digital (149, 190, 4168)-net over F4 | [i] | ||
| 4 | Linear OOA(4190, 2084, F4, 2, 41) (dual of [(2084, 2), 3978, 42]-NRT-code) | [i] | OOA Folding | |