Information on Result #612688
Linear OA(489, 4194305, F4, 11) (dual of [4194305, 4194216, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, 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(495, 4194317, F4, 11) (dual of [4194317, 4194222, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(496, 4194321, F4, 11) (dual of [4194321, 4194225, 12]-code) | [i] | ||
| 3 | Linear OA(493, 4194310, F4, 11) (dual of [4194310, 4194217, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(490, 4194328, F4, 11) (dual of [4194328, 4194238, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(4143, 4194359, F4, 17) (dual of [4194359, 4194216, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(4140, 4194348, F4, 16) (dual of [4194348, 4194208, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(4141, 4194357, F4, 16) (dual of [4194357, 4194216, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(4142, 4194356, F4, 17) (dual of [4194356, 4194214, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(490, 4194329, F4, 11) (dual of [4194329, 4194239, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |