Information on Result #687253
Linear OA(8145, 4112, F8, 41) (dual of [4112, 3967, 42]-code), using construction X applied to Ce(40) ⊂ Ce(36) based on
- 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(8129, 4096, F8, 37) (dual of [4096, 3967, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 OA(8144, 4111, F8, 40) (dual of [4111, 3967, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(8145, 2056, F8, 2, 41) (dual of [(2056, 2), 3967, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8145, 1370, F8, 3, 41) (dual of [(1370, 3), 3965, 42]-NRT-code) | [i] | ||