Information on Result #2251815
Linear OA(8144, 32786, F8, 32) (dual of [32786, 32642, 33]-code), using 1 times truncation based on linear OA(8145, 32787, F8, 33) (dual of [32787, 32642, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(84, 19, F8, 3) (dual of [19, 15, 4]-code or 19-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 OOA(8144, 32786, F8, 2, 32) (dual of [(32786, 2), 65428, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8144, 32786, F8, 3, 32) (dual of [(32786, 3), 98214, 33]-NRT-code) | [i] | ||
| 3 | Digital (112, 144, 32786)-net over F8 | [i] | ||
| 4 | Linear OOA(8144, 16393, F8, 2, 32) (dual of [(16393, 2), 32642, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8144, 10928, F8, 3, 32) (dual of [(10928, 3), 32640, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(8144, 2049, F8, 32, 32) (dual of [(2049, 32), 65424, 33]-NRT-code) | [i] | OA Folding and Stacking | |