Information on Result #686758
Linear OA(821, 32773, F8, 5) (dual of [32773, 32752, 6]-code), using construction X applied to Ce(4) ⊂ Ce(3) based on
- linear OA(821, 32768, F8, 5) (dual of [32768, 32747, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(816, 32768, F8, 4) (dual of [32768, 32752, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(821, 32773, F8, 2, 5) (dual of [(32773, 2), 65525, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(821, 32773, F8, 3, 5) (dual of [(32773, 3), 98298, 6]-NRT-code) | [i] | ||
| 3 | Digital (16, 21, 32773)-net over F8 | [i] | ||
| 4 | Linear OOA(821, 16386, F8, 2, 5) (dual of [(16386, 2), 32751, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(821, 16386, F8, 3, 5) (dual of [(16386, 3), 49137, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(821, 16386, F8, 5, 5) (dual of [(16386, 5), 81909, 6]-NRT-code) | [i] | ||