Information on Result #1443696
Linear OOA(865, 3970, F8, 2, 18) (dual of [(3970, 2), 7875, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(865, 3970, F8, 18) (dual of [3970, 3905, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(865, 4112, F8, 18) (dual of [4112, 4047, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
Mode: 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(865, 1985, F8, 3, 18) (dual of [(1985, 3), 5890, 19]-NRT-code) | [i] | OOA Folding | |