Information on Result #1539613
Linear OOA(4177, 58730, F4, 3, 27) (dual of [(58730, 3), 176013, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4177, 58730, F4, 27) (dual of [58730, 58553, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4177, 65556, F4, 27) (dual of [65556, 65379, 28]-code), using
- (u, u+v)-construction [i] based on
- linear OA(416, 19, F4, 13) (dual of [19, 3, 14]-code), using
- 2 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 2 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- linear OA(4161, 65537, F4, 27) (dual of [65537, 65376, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(416, 19, F4, 13) (dual of [19, 3, 14]-code), using
- (u, u+v)-construction [i] based on
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(4177, 11745, F4, 33, 27) (dual of [(11745, 33), 387408, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |