Information on Result #686212
Linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,8]) based on
- linear OA(8141, 2097153, F8, 23) (dual of [2097153, 2097012, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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 OA(8149, 2097203, F8, 23) (dual of [2097203, 2097054, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8150, 2097204, F8, 23) (dual of [2097204, 2097054, 24]-code) | [i] | ||
| 3 | Linear OA(8151, 2097205, F8, 23) (dual of [2097205, 2097054, 24]-code) | [i] | ||
| 4 | Linear OA(8152, 2097206, F8, 23) (dual of [2097206, 2097054, 24]-code) | [i] | ||
| 5 | Linear OA(8153, 2097207, F8, 23) (dual of [2097207, 2097054, 24]-code) | [i] | ||
| 6 | Linear OOA(8148, 2097202, F8, 2, 23) (dual of [(2097202, 2), 4194256, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(8148, 2097202, F8, 3, 23) (dual of [(2097202, 3), 6291458, 24]-NRT-code) | [i] | ||
| 8 | Digital (125, 148, 2097202)-net over F8 | [i] | ||
| 9 | Linear OA(8149, 2097204, F8, 23) (dual of [2097204, 2097055, 24]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(8150, 2097206, F8, 23) (dual of [2097206, 2097056, 24]-code) | [i] | ||
| 11 | Linear OA(8151, 2097208, F8, 23) (dual of [2097208, 2097057, 24]-code) | [i] | ||
| 12 | Linear OOA(8148, 1048601, F8, 2, 23) (dual of [(1048601, 2), 2097054, 24]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(8148, 699067, F8, 3, 23) (dual of [(699067, 3), 2097053, 24]-NRT-code) | [i] | ||
| 14 | Linear OOA(8148, 190654, F8, 23, 23) (dual of [(190654, 23), 4384894, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |