Information on Result #1308735
Linear OA(4229, 4681, F4, 49) (dual of [4681, 4452, 50]-code), using 572 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 4 times 0, 1, 9 times 0, 1, 19 times 0, 1, 34 times 0, 1, 58 times 0, 1, 83 times 0, 1, 105 times 0, 1, 120 times 0, 1, 128 times 0) based on linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (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(4229, 4681, F4, 2, 49) (dual of [(4681, 2), 9133, 50]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4229, 4681, F4, 3, 49) (dual of [(4681, 3), 13814, 50]-NRT-code) | [i] | ||
| 3 | Digital (180, 229, 4681)-net over F4 | [i] | ||