Information on Result #686776
Linear OA(8107, 32779, F8, 24) (dual of [32779, 32672, 25]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-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(8107, 29028, F8, 2, 24) (dual of [(29028, 2), 57949, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8107, 29028, F8, 3, 24) (dual of [(29028, 3), 86977, 25]-NRT-code) | [i] | ||
| 3 | Digital (83, 107, 29028)-net over F8 | [i] | ||
| 4 | Linear OOA(8107, 16389, F8, 2, 24) (dual of [(16389, 2), 32671, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8107, 10926, F8, 3, 24) (dual of [(10926, 3), 32671, 25]-NRT-code) | [i] | ||