Information on Result #686783
Linear OA(872, 32779, F8, 16) (dual of [32779, 32707, 17]-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(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(872, 32779, F8, 2, 16) (dual of [(32779, 2), 65486, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(872, 32779, F8, 3, 16) (dual of [(32779, 3), 98265, 17]-NRT-code) | [i] | ||
| 3 | Digital (56, 72, 32779)-net over F8 | [i] | ||
| 4 | Linear OOA(872, 16389, F8, 2, 16) (dual of [(16389, 2), 32706, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(872, 10926, F8, 3, 16) (dual of [(10926, 3), 32706, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(872, 4097, F8, 16, 16) (dual of [(4097, 16), 65480, 17]-NRT-code) | [i] | OA Folding and Stacking | |