Information on Result #686767
Linear OA(8143, 32777, F8, 33) (dual of [32777, 32634, 34]-code), using construction X applied to Ce(32) ⊂ Ce(29) based on
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(8143, 24285, F8, 2, 33) (dual of [(24285, 2), 48427, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8143, 24285, F8, 3, 33) (dual of [(24285, 3), 72712, 34]-NRT-code) | [i] | ||
| 3 | Digital (110, 143, 24285)-net over F8 | [i] | ||
| 4 | Linear OOA(8143, 16388, F8, 2, 33) (dual of [(16388, 2), 32633, 34]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8143, 10925, F8, 3, 33) (dual of [(10925, 3), 32632, 34]-NRT-code) | [i] | ||