Information on Result #678970
Linear OA(4133, 16406, F4, 24) (dual of [16406, 16273, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4133, 12345, F4, 2, 24) (dual of [(12345, 2), 24557, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4133, 12345, F4, 3, 24) (dual of [(12345, 3), 36902, 25]-NRT-code) | [i] | ||
| 3 | Digital (109, 133, 12345)-net over F4 | [i] | ||