Information on Result #687299
Linear OA(8105, 4116, F8, 29) (dual of [4116, 4011, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
- linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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 OA(8106, 4117, F8, 29) (dual of [4117, 4011, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8105, 2058, F8, 2, 29) (dual of [(2058, 2), 4011, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8105, 1372, F8, 3, 29) (dual of [(1372, 3), 4011, 30]-NRT-code) | [i] | ||