Information on Result #612676
Linear OA(457, 16385, F4, 11) (dual of [16385, 16328, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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 OA(463, 16397, F4, 11) (dual of [16397, 16334, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(464, 16401, F4, 11) (dual of [16401, 16337, 12]-code) | [i] | ||
| 3 | Linear OA(461, 16390, F4, 11) (dual of [16390, 16329, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(458, 16400, F4, 11) (dual of [16400, 16342, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(494, 16409, F4, 17) (dual of [16409, 16315, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(495, 16423, F4, 17) (dual of [16423, 16328, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(491, 16406, F4, 16) (dual of [16406, 16315, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(492, 16420, F4, 16) (dual of [16420, 16328, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(494, 16421, F4, 17) (dual of [16421, 16327, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(494, 16422, F4, 17) (dual of [16422, 16328, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(458, 16401, F4, 11) (dual of [16401, 16343, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |