Information on Result #687259
Linear OA(8121, 4112, F8, 34) (dual of [4112, 3991, 35]-code), using construction X applied to Ce(33) ⊂ Ce(29) based on
- linear OA(8117, 4096, F8, 34) (dual of [4096, 3979, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8105, 4096, F8, 30) (dual of [4096, 3991, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(8121, 2056, F8, 2, 34) (dual of [(2056, 2), 3991, 35]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8121, 1370, F8, 3, 34) (dual of [(1370, 3), 3989, 35]-NRT-code) | [i] | ||