Information on Result #678041
Linear OA(4221, 1048577, F4, 29) (dual of [1048577, 1048356, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(4242, 1048598, F4, 31) (dual of [1048598, 1048356, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4244, 1048583, F4, 33) (dual of [1048583, 1048339, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(4245, 1048594, F4, 33) (dual of [1048594, 1048349, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(4246, 1048602, F4, 33) (dual of [1048602, 1048356, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(4244, 1048598, F4, 32) (dual of [1048598, 1048354, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(4222, 1048598, F4, 29) (dual of [1048598, 1048376, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(4226, 1048618, F4, 29) (dual of [1048618, 1048392, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(4227, 1048623, F4, 29) (dual of [1048623, 1048396, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4225, 1048621, F4, 28) (dual of [1048621, 1048396, 29]-code) | [i] | ✔ | |