Information on Result #686841
Linear OA(8145, 32792, F8, 32) (dual of [32792, 32647, 33]-code), using construction X applied to Ce(32) ⊂ Ce(27) 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(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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 OOA(8145, 32792, F8, 2, 32) (dual of [(32792, 2), 65439, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8145, 32792, F8, 3, 32) (dual of [(32792, 3), 98231, 33]-NRT-code) | [i] | ||
| 3 | Digital (113, 145, 32792)-net over F8 | [i] | ||
| 4 | Linear OOA(8145, 16396, F8, 2, 32) (dual of [(16396, 2), 32647, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8145, 10930, F8, 3, 32) (dual of [(10930, 3), 32645, 33]-NRT-code) | [i] | ||