Information on Result #686878
Linear OA(898, 32800, F8, 21) (dual of [32800, 32702, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(899, 32801, F8, 21) (dual of [32801, 32702, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8100, 32802, F8, 21) (dual of [32802, 32702, 22]-code) | [i] | ||
| 3 | Linear OOA(898, 32800, F8, 2, 21) (dual of [(32800, 2), 65502, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(898, 32800, F8, 3, 21) (dual of [(32800, 3), 98302, 22]-NRT-code) | [i] | ||
| 5 | Digital (77, 98, 32800)-net over F8 | [i] | ||
| 6 | Linear OOA(898, 16400, F8, 2, 21) (dual of [(16400, 2), 32702, 22]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(898, 10933, F8, 3, 21) (dual of [(10933, 3), 32701, 22]-NRT-code) | [i] | ||