Information on Result #687310
Linear OA(861, 4116, F8, 16) (dual of [4116, 4055, 17]-code), using construction X applied to Ce(16) ⊂ Ce(11) 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(841, 4096, F8, 12) (dual of [4096, 4055, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(84, 20, F8, 3) (dual of [20, 16, 4]-code or 20-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(861, 2058, F8, 2, 16) (dual of [(2058, 2), 4055, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(861, 1372, F8, 3, 16) (dual of [(1372, 3), 4055, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(861, 514, F8, 16, 16) (dual of [(514, 16), 8163, 17]-NRT-code) | [i] | OA Folding and Stacking | |