Information on Result #686322
Linear OA(854, 2097184, F8, 8) (dual of [2097184, 2097130, 9]-code), using construction X applied to Ce(8) ⊂ Ce(3) based on
- linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(822, 2097152, F8, 4) (dual of [2097152, 2097130, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-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(854, 1048592, F8, 2, 8) (dual of [(1048592, 2), 2097130, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(854, 699061, F8, 3, 8) (dual of [(699061, 3), 2097129, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(854, 524296, F8, 8, 8) (dual of [(524296, 8), 4194314, 9]-NRT-code) | [i] | OA Folding and Stacking | |