Information on Result #675767
Linear OA(3172, 2201, F3, 36) (dual of [2201, 2029, 37]-code), using construction X applied to C([0,18]) ⊂ C([0,16]) based on
- linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3155, 2188, F3, 33) (dual of [2188, 2033, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3172, 1667, F3, 2, 36) (dual of [(1667, 2), 3162, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3172, 1667, F3, 3, 36) (dual of [(1667, 3), 4829, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3172, 1667, F3, 4, 36) (dual of [(1667, 4), 6496, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3172, 1667, F3, 5, 36) (dual of [(1667, 5), 8163, 37]-NRT-code) | [i] | ||
| 5 | Digital (136, 172, 1667)-net over F3 | [i] | ||