Information on Result #870866
Linear OOA(3269, 514, F32, 2, 36) (dual of [(514, 2), 959, 37]-NRT-code), using OOA 2-folding based on linear OA(3269, 1028, F32, 36) (dual of [1028, 959, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3269, 1029, F32, 36) (dual of [1029, 960, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
- linear OA(3268, 1024, F32, 36) (dual of [1024, 956, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 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
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
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(3288, 558, F32, 2, 36) (dual of [(558, 2), 1028, 37]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3290, 578, F32, 2, 36) (dual of [(578, 2), 1066, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3292, 590, F32, 2, 36) (dual of [(590, 2), 1088, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3294, 612, F32, 2, 36) (dual of [(612, 2), 1130, 37]-NRT-code) | [i] | ||
| 5 | Linear OOA(3296, 618, F32, 2, 36) (dual of [(618, 2), 1140, 37]-NRT-code) | [i] | ||
| 6 | Linear OOA(3298, 634, F32, 2, 36) (dual of [(634, 2), 1170, 37]-NRT-code) | [i] | ||
| 7 | Digital (33, 69, 467)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |