Information on Result #1323794
Linear OA(5110, 15675, F5, 21) (dual of [15675, 15565, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
- linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(561, 15626, F5, 13) (dual of [15626, 15565, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(513, 49, F5, 7) (dual of [49, 36, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 52, F5, 7) (dual of [52, 39, 8]-code), using
- a “LX†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(513, 52, F5, 7) (dual of [52, 39, 8]-code), using
Mode: 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(5110, 15675, F5, 2, 21) (dual of [(15675, 2), 31240, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5110, 15675, F5, 3, 21) (dual of [(15675, 3), 46915, 22]-NRT-code) | [i] | ||
| 3 | Digital (89, 110, 15675)-net over F5 | [i] | ||
| 4 | Linear OOA(5110, 7837, F5, 2, 21) (dual of [(7837, 2), 15564, 22]-NRT-code) | [i] | OOA Folding | |