Information on Result #678059
Linear OA(4101, 1048577, F4, 13) (dual of [1048577, 1048476, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(4124, 1048583, F4, 17) (dual of [1048583, 1048459, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4125, 1048594, F4, 17) (dual of [1048594, 1048469, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(4126, 1048602, F4, 17) (dual of [1048602, 1048476, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(4124, 1048598, F4, 16) (dual of [1048598, 1048474, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(4151, 1048627, F4, 19) (dual of [1048627, 1048476, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4150, 1048626, F4, 19) (dual of [1048626, 1048476, 20]-code) | [i] | ✔ | |