Information on Result #869726
Linear OOA(3241, 513, F32, 2, 21) (dual of [(513, 2), 985, 22]-NRT-code), using OOA 2-folding based on linear OA(3241, 1026, F32, 21) (dual of [1026, 985, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(3241, 1024, F32, 21) (dual of [1024, 983, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3239, 1024, F32, 20) (dual of [1024, 985, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-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(3251, 546, F32, 2, 21) (dual of [(546, 2), 1041, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3252, 557, F32, 2, 21) (dual of [(557, 2), 1062, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3254, 577, F32, 2, 21) (dual of [(577, 2), 1100, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3256, 589, F32, 2, 21) (dual of [(589, 2), 1122, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(3257, 590, F32, 2, 21) (dual of [(590, 2), 1123, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(3258, 611, F32, 2, 21) (dual of [(611, 2), 1164, 22]-NRT-code) | [i] | ||
| 7 | Digital (20, 41, 436)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |