Information on Result #869214
Linear OOA(3223, 513, F32, 2, 12) (dual of [(513, 2), 1003, 13]-NRT-code), using OOA 2-folding based on linear OA(3223, 1026, F32, 12) (dual of [1026, 1003, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3223, 1024, F32, 12) (dual of [1024, 1001, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3221, 1024, F32, 11) (dual of [1024, 1003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(3229, 546, F32, 2, 12) (dual of [(546, 2), 1063, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3230, 557, F32, 2, 12) (dual of [(557, 2), 1084, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3232, 579, F32, 2, 12) (dual of [(579, 2), 1126, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3233, 590, F32, 2, 12) (dual of [(590, 2), 1147, 13]-NRT-code) | [i] | ||
| 5 | Digital (11, 23, 431)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |