Information on Result #696875
Linear OA(3247, 32775, F32, 16) (dual of [32775, 32728, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 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 | OA(1659, 32775, S16, 16) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3256, 32819, F32, 16) (dual of [32819, 32763, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3258, 32839, F32, 16) (dual of [32839, 32781, 17]-code) | [i] | ||
| 4 | Linear OA(3260, 32871, F32, 16) (dual of [32871, 32811, 17]-code) | [i] | ||
| 5 | Linear OOA(3247, 17196, F32, 2, 16) (dual of [(17196, 2), 34345, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (31, 47, 17196)-net over F32 | [i] | ||
| 7 | Linear OOA(3247, 16387, F32, 2, 16) (dual of [(16387, 2), 32727, 17]-NRT-code) | [i] | OOA Folding | |