Information on Result #870794
Linear OOA(3267, 514, F32, 2, 35) (dual of [(514, 2), 961, 36]-NRT-code), using OOA 2-folding based on linear OA(3267, 1028, F32, 35) (dual of [1028, 961, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 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 OOA(3285, 558, F32, 2, 35) (dual of [(558, 2), 1031, 36]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3287, 578, F32, 2, 35) (dual of [(578, 2), 1069, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3289, 590, F32, 2, 35) (dual of [(590, 2), 1091, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3291, 612, F32, 2, 35) (dual of [(612, 2), 1133, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(3293, 618, F32, 2, 35) (dual of [(618, 2), 1143, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(3295, 634, F32, 2, 35) (dual of [(634, 2), 1173, 36]-NRT-code) | [i] | ||
| 7 | Digital (32, 67, 455)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |