Information on Result #696873
Linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using construction X applied to Ce(19) ⊂ Ce(17) based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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 | Linear OA(3270, 32819, F32, 20) (dual of [32819, 32749, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3272, 32839, F32, 20) (dual of [32839, 32767, 21]-code) | [i] | ||
| 3 | Linear OA(3275, 32870, F32, 20) (dual of [32870, 32795, 21]-code) | [i] | ||
| 4 | Linear OA(3276, 32873, F32, 20) (dual of [32873, 32797, 21]-code) | [i] | ||
| 5 | Linear OOA(3259, 17238, F32, 2, 20) (dual of [(17238, 2), 34417, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (39, 59, 17238)-net over F32 | [i] | ||
| 7 | Linear OOA(3259, 16387, F32, 2, 20) (dual of [(16387, 2), 32715, 21]-NRT-code) | [i] | OOA Folding | |