Information on Result #612685
Linear OA(481, 1048577, F4, 11) (dual of [1048577, 1048496, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, 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(487, 1048589, F4, 11) (dual of [1048589, 1048502, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(488, 1048593, F4, 11) (dual of [1048593, 1048505, 12]-code) | [i] | ||
| 3 | Linear OA(485, 1048582, F4, 11) (dual of [1048582, 1048497, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(482, 1048598, F4, 11) (dual of [1048598, 1048516, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(4131, 1048627, F4, 17) (dual of [1048627, 1048496, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(4128, 1048620, F4, 16) (dual of [1048620, 1048492, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(4129, 1048625, F4, 16) (dual of [1048625, 1048496, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(4130, 1048626, F4, 17) (dual of [1048626, 1048496, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(482, 1048599, F4, 11) (dual of [1048599, 1048517, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |