Information on Result #687266
Linear OA(893, 4112, F8, 26) (dual of [4112, 4019, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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(893, 4042, F8, 2, 26) (dual of [(4042, 2), 7991, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(893, 4042, F8, 3, 26) (dual of [(4042, 3), 12033, 27]-NRT-code) | [i] | ||
| 3 | Digital (67, 93, 4042)-net over F8 | [i] | ||
| 4 | Linear OOA(893, 2056, F8, 2, 26) (dual of [(2056, 2), 4019, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(893, 1370, F8, 3, 26) (dual of [(1370, 3), 4017, 27]-NRT-code) | [i] | ||