Information on Result #1426429
Linear OOA(4180, 3403, F4, 2, 40) (dual of [(3403, 2), 6626, 41]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4180, 3403, F4, 40) (dual of [3403, 3223, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, 4096, F4, 40) (dual of [4096, 3916, 41]-code), using
- 1 times truncation [i] 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]
- 1 times truncation [i] based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
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(4180, 1701, F4, 3, 40) (dual of [(1701, 3), 4923, 41]-NRT-code) | [i] | OOA Folding | |