Information on Result #686774
Linear OA(8113, 32777, F8, 26) (dual of [32777, 32664, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8113, 22930, F8, 2, 26) (dual of [(22930, 2), 45747, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8113, 22930, F8, 3, 26) (dual of [(22930, 3), 68677, 27]-NRT-code) | [i] | ||
| 3 | Digital (87, 113, 22930)-net over F8 | [i] | ||
| 4 | Linear OOA(8113, 16388, F8, 2, 26) (dual of [(16388, 2), 32663, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8113, 10925, F8, 3, 26) (dual of [(10925, 3), 32662, 27]-NRT-code) | [i] | ||