Information on Result #613808
Linear OA(5123, 78137, F5, 21) (dual of [78137, 78014, 22]-code), using construction X applied to C([0,10]) ⊂ C([1,10]) based on
- linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(5112, 78126, F5, 10) (dual of [78126, 78014, 11]-code), using the narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(510, 11, F5, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,5)), using
- dual of repetition code with length 11 [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(5123, 60980, F5, 2, 21) (dual of [(60980, 2), 121837, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5123, 60980, F5, 3, 21) (dual of [(60980, 3), 182817, 22]-NRT-code) | [i] | ||
| 3 | Digital (102, 123, 60980)-net over F5 | [i] | ||