Information on Result #679606
Linear OA(449, 4096, F4, 11) (dual of [4096, 4047, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(449, 2241, F4, 2, 11) (dual of [(2241, 2), 4433, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(449, 2241, F4, 3, 11) (dual of [(2241, 3), 6674, 12]-NRT-code) | [i] | ||
| 3 | Digital (38, 49, 2241)-net over F4 | [i] | ||
| 4 | Linear OA(456, 4103, F4, 13) (dual of [4103, 4047, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(449, 4102, F4, 11) (dual of [4102, 4053, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(464, 4111, F4, 14) (dual of [4111, 4047, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(471, 4113, F4, 15) (dual of [4113, 4042, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(472, 4119, F4, 15) (dual of [4119, 4047, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(454, 4119, F4, 11) (dual of [4119, 4065, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(488, 4130, F4, 18) (dual of [4130, 4042, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(482, 4126, F4, 17) (dual of [4126, 4044, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(481, 4124, F4, 17) (dual of [4124, 4043, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(480, 4122, F4, 17) (dual of [4122, 4042, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(471, 4114, F4, 15) (dual of [4114, 4043, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(470, 4112, F4, 15) (dual of [4112, 4042, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(473, 4121, F4, 15) (dual of [4121, 4048, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(463, 4105, F4, 14) (dual of [4105, 4042, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(457, 4105, F4, 13) (dual of [4105, 4048, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(455, 4121, F4, 11) (dual of [4121, 4066, 12]-code) | [i] | ✔ | |