Information on Result #612643
Linear OA(455, 262145, F4, 9) (dual of [262145, 262090, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(454, 262144, F4, 8) (dual of [262144, 262090, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(460, 262156, F4, 9) (dual of [262156, 262096, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(459, 262150, F4, 9) (dual of [262150, 262091, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(474, 262164, F4, 11) (dual of [262164, 262090, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(458, 262151, F4, 9) (dual of [262151, 262093, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(459, 262162, F4, 9) (dual of [262162, 262103, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(460, 262168, F4, 9) (dual of [262168, 262108, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(458, 262166, F4, 8) (dual of [262166, 262108, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(474, 262165, F4, 11) (dual of [262165, 262091, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 10 | Linear OOA(455, 65536, F4, 9, 9) (dual of [(65536, 9), 589769, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |