Information on Result #678290
Linear OA(491, 262145, F4, 13) (dual of [262145, 262054, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, 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(4112, 262151, F4, 17) (dual of [262151, 262039, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4113, 262162, F4, 17) (dual of [262162, 262049, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(4114, 262168, F4, 17) (dual of [262168, 262054, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(4112, 262166, F4, 16) (dual of [262166, 262054, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(4137, 262191, F4, 19) (dual of [262191, 262054, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4136, 262190, F4, 19) (dual of [262190, 262054, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(4110, 262165, F4, 15) (dual of [262165, 262055, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |