Information on Result #981507
Linear OOA(8165, 1372, F8, 3, 46) (dual of [(1372, 3), 3951, 47]-NRT-code), using OOA 3-folding based on linear OA(8165, 4116, F8, 46) (dual of [4116, 3951, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(41) [i] based on
- linear OA(8161, 4096, F8, 46) (dual of [4096, 3935, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8145, 4096, F8, 42) (dual of [4096, 3951, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(8166, 1372, F8, 3, 46) (dual of [(1372, 3), 3950, 47]-NRT-code) | [i] | OOA Duplication | |