Information on Result #869585
Linear OOA(3237, 513, F32, 2, 19) (dual of [(513, 2), 989, 20]-NRT-code), using OOA 2-folding based on linear OA(3237, 1026, F32, 19) (dual of [1026, 989, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3235, 1024, F32, 18) (dual of [1024, 989, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(3246, 546, F32, 2, 19) (dual of [(546, 2), 1046, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3247, 557, F32, 2, 19) (dual of [(557, 2), 1067, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 577, F32, 2, 19) (dual of [(577, 2), 1105, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 579, F32, 2, 19) (dual of [(579, 2), 1108, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3251, 590, F32, 2, 19) (dual of [(590, 2), 1129, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3252, 601, F32, 2, 19) (dual of [(601, 2), 1150, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(3253, 611, F32, 2, 19) (dual of [(611, 2), 1169, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(3253, 612, F32, 2, 19) (dual of [(612, 2), 1171, 20]-NRT-code) | [i] | ||
| 9 | Digital (18, 37, 423)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |