Information on Result #686654
Linear OA(8105, 32793, F8, 23) (dual of [32793, 32688, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,9]) 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(881, 32769, F8, 19) (dual of [32769, 32688, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), 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(8106, 32794, F8, 23) (dual of [32794, 32688, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8105, 32793, F8, 2, 23) (dual of [(32793, 2), 65481, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8105, 32793, F8, 3, 23) (dual of [(32793, 3), 98274, 24]-NRT-code) | [i] | ||
| 4 | Digital (82, 105, 32793)-net over F8 | [i] | ||
| 5 | Linear OA(8106, 32795, F8, 23) (dual of [32795, 32689, 24]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(8105, 16396, F8, 2, 23) (dual of [(16396, 2), 32687, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8105, 10931, F8, 3, 23) (dual of [(10931, 3), 32688, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(8105, 2981, F8, 23, 23) (dual of [(2981, 23), 68458, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |