Information on Result #612673
Linear OA(449, 4097, F4, 11) (dual of [4097, 4048, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, 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(455, 4109, F4, 11) (dual of [4109, 4054, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(453, 4102, F4, 11) (dual of [4102, 4049, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(462, 4110, F4, 13) (dual of [4110, 4048, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(450, 4110, F4, 11) (dual of [4110, 4060, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(482, 4121, F4, 17) (dual of [4121, 4039, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(483, 4131, F4, 17) (dual of [4131, 4048, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(479, 4118, F4, 16) (dual of [4118, 4039, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(480, 4128, F4, 16) (dual of [4128, 4048, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(482, 4130, F4, 17) (dual of [4130, 4048, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(462, 4111, F4, 13) (dual of [4111, 4049, 14]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 11 | Linear OA(450, 4111, F4, 11) (dual of [4111, 4061, 12]-code) | [i] | ✔ | |