Information on Result #686672
Linear OA(8108, 32806, F8, 23) (dual of [32806, 32698, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,8]) based on
- linear OA(8101, 32769, F8, 23) (dual of [32769, 32668, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 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(8109, 32807, F8, 23) (dual of [32807, 32698, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8110, 32808, F8, 23) (dual of [32808, 32698, 24]-code) | [i] | ||
| 3 | Linear OA(8111, 32809, F8, 23) (dual of [32809, 32698, 24]-code) | [i] | ||
| 4 | Linear OA(8112, 32810, F8, 23) (dual of [32810, 32698, 24]-code) | [i] | ||
| 5 | Linear OA(8113, 32811, F8, 23) (dual of [32811, 32698, 24]-code) | [i] | ||
| 6 | Linear OOA(8108, 16403, F8, 2, 23) (dual of [(16403, 2), 32698, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8108, 10935, F8, 3, 23) (dual of [(10935, 3), 32697, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(8108, 2982, F8, 23, 23) (dual of [(2982, 23), 68478, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |