Information on Result #737495
Linear OA(5120, 78161, F5, 20) (dual of [78161, 78041, 21]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) 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(585, 78126, F5, 15) (dual of [78126, 78041, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(57, 35, F5, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 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(5120, 78161, F5, 2, 20) (dual of [(78161, 2), 156202, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5120, 78161, F5, 3, 20) (dual of [(78161, 3), 234363, 21]-NRT-code) | [i] | ||
| 3 | Digital (100, 120, 78161)-net over F5 | [i] | ||
| 4 | Linear OOA(5120, 7816, F5, 20, 20) (dual of [(7816, 20), 156200, 21]-NRT-code) | [i] | OA Folding and Stacking | |