Information on Result #687274
Linear OA(861, 4112, F8, 17) (dual of [4112, 4051, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(845, 4096, F8, 13) (dual of [4096, 4051, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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 OA(860, 4111, F8, 16) (dual of [4111, 4051, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(861, 2056, F8, 2, 17) (dual of [(2056, 2), 4051, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(861, 1370, F8, 3, 17) (dual of [(1370, 3), 4049, 18]-NRT-code) | [i] | ||