Information on Result #846685
Linear OOA(8161, 2058, F8, 2, 45) (dual of [(2058, 2), 3955, 46]-NRT-code), using OOA 2-folding based on linear OA(8161, 4116, F8, 45) (dual of [4116, 3955, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(40) [i] based on
- linear OA(8157, 4096, F8, 45) (dual of [4096, 3939, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(8163, 2059, F8, 2, 45) (dual of [(2059, 2), 3955, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8162, 2058, F8, 2, 45) (dual of [(2058, 2), 3954, 46]-NRT-code) | [i] | OOA Duplication | |