Information on Result #1309004
Linear OA(4257, 4234, F4, 57) (dual of [4234, 3977, 58]-code), using 133 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 0, 1, 14 times 0, 1, 40 times 0, 1, 72 times 0) based on linear OA(4253, 4097, F4, 57) (dual of [4097, 3844, 58]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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(4257, 4234, F4, 2, 57) (dual of [(4234, 2), 8211, 58]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4257, 4234, F4, 3, 57) (dual of [(4234, 3), 12445, 58]-NRT-code) | [i] | ||
| 3 | Digital (200, 257, 4234)-net over F4 | [i] | ||
| 4 | Linear OOA(4257, 2117, F4, 2, 57) (dual of [(2117, 2), 3977, 58]-NRT-code) | [i] | OOA Folding | |