Information on Result #678904
Linear OA(4155, 16385, F4, 29) (dual of [16385, 16230, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, 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 OOA(4155, 9870, F4, 2, 29) (dual of [(9870, 2), 19585, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4155, 9870, F4, 3, 29) (dual of [(9870, 3), 29455, 30]-NRT-code) | [i] | ||
| 3 | Digital (126, 155, 9870)-net over F4 | [i] | ||
| 4 | Linear OA(4170, 16400, F4, 31) (dual of [16400, 16230, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4172, 16391, F4, 33) (dual of [16391, 16219, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(4173, 16402, F4, 33) (dual of [16402, 16229, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4174, 16404, F4, 33) (dual of [16404, 16230, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4172, 16402, F4, 32) (dual of [16402, 16230, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(4156, 16400, F4, 29) (dual of [16400, 16244, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(4192, 16409, F4, 35) (dual of [16409, 16217, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4193, 16423, F4, 35) (dual of [16423, 16230, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(4189, 16406, F4, 34) (dual of [16406, 16217, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(4190, 16420, F4, 34) (dual of [16420, 16230, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(4160, 16418, F4, 29) (dual of [16418, 16258, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(4158, 16406, F4, 28) (dual of [16406, 16248, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4213, 16443, F4, 37) (dual of [16443, 16230, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(4210, 16440, F4, 36) (dual of [16440, 16230, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(4239, 16461, F4, 41) (dual of [16461, 16222, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(4240, 16470, F4, 41) (dual of [16470, 16230, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(4237, 16467, F4, 40) (dual of [16467, 16230, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(4230, 16450, F4, 39) (dual of [16450, 16220, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(4239, 16469, F4, 41) (dual of [16469, 16230, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(4192, 16422, F4, 35) (dual of [16422, 16230, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4156, 16415, F4, 27) (dual of [16415, 16259, 28]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |