Information on Result #686784
Linear OA(873, 32777, F8, 17) (dual of [32777, 32704, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(873, 19829, F8, 2, 17) (dual of [(19829, 2), 39585, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(873, 19829, F8, 3, 17) (dual of [(19829, 3), 59414, 18]-NRT-code) | [i] | ||
| 3 | Digital (56, 73, 19829)-net over F8 | [i] | ||
| 4 | Linear OOA(873, 16388, F8, 2, 17) (dual of [(16388, 2), 32703, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(873, 10925, F8, 3, 17) (dual of [(10925, 3), 32702, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(873, 4097, F8, 17, 17) (dual of [(4097, 17), 69576, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |