Information on Result #869802
Linear OOA(3243, 513, F32, 2, 22) (dual of [(513, 2), 983, 23]-NRT-code), using OOA 2-folding based on linear OA(3243, 1026, F32, 22) (dual of [1026, 983, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(3243, 1024, F32, 22) (dual of [1024, 981, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3241, 1024, F32, 21) (dual of [1024, 983, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(3254, 546, F32, 2, 22) (dual of [(546, 2), 1038, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3255, 557, F32, 2, 22) (dual of [(557, 2), 1059, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3257, 577, F32, 2, 22) (dual of [(577, 2), 1097, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(3259, 589, F32, 2, 22) (dual of [(589, 2), 1119, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(3260, 590, F32, 2, 22) (dual of [(590, 2), 1120, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(3261, 611, F32, 2, 22) (dual of [(611, 2), 1161, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(3263, 621, F32, 2, 22) (dual of [(621, 2), 1179, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(3263, 623, F32, 2, 22) (dual of [(623, 2), 1183, 23]-NRT-code) | [i] | ||
| 9 | Digital (21, 43, 444)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |