Information on Result #686781
Linear OA(878, 32777, F8, 18) (dual of [32777, 32699, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
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(878, 21546, F8, 2, 18) (dual of [(21546, 2), 43014, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(878, 21546, F8, 3, 18) (dual of [(21546, 3), 64560, 19]-NRT-code) | [i] | ||
| 3 | Digital (60, 78, 21546)-net over F8 | [i] | ||
| 4 | Linear OOA(878, 16388, F8, 2, 18) (dual of [(16388, 2), 32698, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(878, 10925, F8, 3, 18) (dual of [(10925, 3), 32697, 19]-NRT-code) | [i] | ||