Information on Result #678550
Linear OA(481, 65537, F4, 13) (dual of [65537, 65456, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
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 OOA(481, 39122, F4, 2, 13) (dual of [(39122, 2), 78163, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(481, 39122, F4, 3, 13) (dual of [(39122, 3), 117285, 14]-NRT-code) | [i] | ||
| 3 | Digital (68, 81, 39122)-net over F4 | [i] | ||
| 4 | Linear OA(498, 65554, F4, 15) (dual of [65554, 65456, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4100, 65543, F4, 17) (dual of [65543, 65443, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(4101, 65554, F4, 17) (dual of [65554, 65453, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(4102, 65558, F4, 17) (dual of [65558, 65456, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(4100, 65556, F4, 16) (dual of [65556, 65456, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(4123, 65579, F4, 19) (dual of [65579, 65456, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(498, 65555, F4, 15) (dual of [65555, 65457, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |