Information on Result #678957
Linear OA(4175, 16406, F4, 32) (dual of [16406, 16231, 33]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
- linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
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(4175, 12439, F4, 2, 32) (dual of [(12439, 2), 24703, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4175, 12439, F4, 3, 32) (dual of [(12439, 3), 37142, 33]-NRT-code) | [i] | ||
| 3 | Digital (143, 175, 12439)-net over F4 | [i] | ||