Information on Result #612779
Linear OA(4133, 4194305, F4, 17) (dual of [4194305, 4194172, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(4132, 4194304, F4, 16) (dual of [4194304, 4194172, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(4143, 4194319, F4, 17) (dual of [4194319, 4194176, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4141, 4194314, F4, 17) (dual of [4194314, 4194173, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(4156, 4194328, F4, 19) (dual of [4194328, 4194172, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(4136, 4194311, F4, 17) (dual of [4194311, 4194175, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(4137, 4194322, F4, 17) (dual of [4194322, 4194185, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(4138, 4194332, F4, 17) (dual of [4194332, 4194194, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(4136, 4194326, F4, 16) (dual of [4194326, 4194190, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(4143, 4194359, F4, 17) (dual of [4194359, 4194216, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(4140, 4194348, F4, 16) (dual of [4194348, 4194208, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(4141, 4194357, F4, 16) (dual of [4194357, 4194216, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4215, 4194369, F4, 25) (dual of [4194369, 4194154, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4216, 4194373, F4, 25) (dual of [4194373, 4194157, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(4212, 4194369, F4, 24) (dual of [4194369, 4194157, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(4215, 4194387, F4, 24) (dual of [4194387, 4194172, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(4216, 4194377, F4, 25) (dual of [4194377, 4194161, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(4212, 4194375, F4, 24) (dual of [4194375, 4194163, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(4214, 4194378, F4, 24) (dual of [4194378, 4194164, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(4142, 4194356, F4, 17) (dual of [4194356, 4194214, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(4214, 4194386, F4, 25) (dual of [4194386, 4194172, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(4156, 4194329, F4, 19) (dual of [4194329, 4194173, 20]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 22 | Linear OOA(4133, 524288, F4, 17, 17) (dual of [(524288, 17), 8912763, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |