Information on Result #869459
Linear OOA(3233, 513, F32, 2, 17) (dual of [(513, 2), 993, 18]-NRT-code), using OOA 2-folding based on linear OA(3233, 1026, F32, 17) (dual of [1026, 993, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3233, 1024, F32, 17) (dual of [1024, 991, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3231, 1024, F32, 16) (dual of [1024, 993, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3241, 546, F32, 2, 17) (dual of [(546, 2), 1051, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3242, 557, F32, 2, 17) (dual of [(557, 2), 1072, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3244, 577, F32, 2, 17) (dual of [(577, 2), 1110, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3245, 579, F32, 2, 17) (dual of [(579, 2), 1113, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(3246, 590, F32, 2, 17) (dual of [(590, 2), 1134, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(3247, 601, F32, 2, 17) (dual of [(601, 2), 1155, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(3247, 612, F32, 2, 17) (dual of [(612, 2), 1177, 18]-NRT-code) | [i] | ||
| 8 | Digital (16, 33, 413)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |