Information on Result #2244595
Linear OA(4240, 65536, F4, 40) (dual of [65536, 65296, 41]-code), using 1 times truncation based on linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
Mode: Constructive and 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 OA(4260, 65557, F4, 40) (dual of [65557, 65297, 41]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(4240, 32768, F4, 2, 40) (dual of [(32768, 2), 65296, 41]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4240, 21845, F4, 3, 40) (dual of [(21845, 3), 65295, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(4240, 3276, F4, 40, 40) (dual of [(3276, 40), 130800, 41]-NRT-code) | [i] | OA Folding and Stacking | |