Information on Result #612659
Linear OA(457, 65536, F4, 10) (dual of [65536, 65479, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(462, 65542, F4, 10) (dual of [65542, 65480, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(463, 65548, F4, 10) (dual of [65548, 65485, 11]-code) | [i] | ||
| 3 | Linear OA(465, 65544, F4, 11) (dual of [65544, 65479, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(457, 65544, F4, 10) (dual of [65544, 65487, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(474, 65553, F4, 12) (dual of [65553, 65479, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(476, 65555, F4, 13) (dual of [65555, 65479, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(460, 65555, F4, 10) (dual of [65555, 65495, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(486, 65565, F4, 14) (dual of [65565, 65479, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(462, 65565, F4, 10) (dual of [65565, 65503, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(496, 65575, F4, 15) (dual of [65575, 65479, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(4107, 65586, F4, 16) (dual of [65586, 65479, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4106, 65585, F4, 16) (dual of [65585, 65479, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(495, 65567, F4, 15) (dual of [65567, 65472, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(485, 65557, F4, 14) (dual of [65557, 65472, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(487, 65567, F4, 14) (dual of [65567, 65480, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(475, 65547, F4, 13) (dual of [65547, 65472, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(477, 65557, F4, 13) (dual of [65557, 65480, 14]-code) | [i] | ✔ | |
| 18 | Linear OA(459, 65547, F4, 10) (dual of [65547, 65488, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(461, 65557, F4, 10) (dual of [65557, 65496, 11]-code) | [i] | ✔ | |
| 20 | Linear OA(463, 65567, F4, 10) (dual of [65567, 65504, 11]-code) | [i] | ✔ | |
| 21 | Linear OA(474, 65554, F4, 12) (dual of [65554, 65480, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |