Information on Result #679418
Linear OA(461, 4097, F4, 13) (dual of [4097, 4036, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, 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(461, 3139, F4, 2, 13) (dual of [(3139, 2), 6217, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(461, 3139, F4, 3, 13) (dual of [(3139, 3), 9356, 14]-NRT-code) | [i] | ||
| 3 | Digital (48, 61, 3139)-net over F4 | [i] | ||
| 4 | Linear OA(474, 4110, F4, 15) (dual of [4110, 4036, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(476, 4103, F4, 17) (dual of [4103, 4027, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(477, 4113, F4, 17) (dual of [4113, 4036, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(462, 4110, F4, 13) (dual of [4110, 4048, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(494, 4121, F4, 19) (dual of [4121, 4027, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(495, 4131, F4, 19) (dual of [4131, 4036, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(462, 4111, F4, 13) (dual of [4111, 4049, 14]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |