Information on Result #871138
Linear OOA(3276, 513, F32, 2, 40) (dual of [(513, 2), 950, 41]-NRT-code), using OOA 2-folding based on linear OA(3276, 1026, F32, 40) (dual of [1026, 950, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(38) [i] based on
- linear OA(3276, 1024, F32, 40) (dual of [1024, 948, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3274, 1024, F32, 39) (dual of [1024, 950, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(3296, 546, F32, 2, 40) (dual of [(546, 2), 996, 41]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3297, 557, F32, 2, 40) (dual of [(557, 2), 1017, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3299, 577, F32, 2, 40) (dual of [(577, 2), 1055, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(32101, 589, F32, 2, 40) (dual of [(589, 2), 1077, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(32103, 611, F32, 2, 40) (dual of [(611, 2), 1119, 41]-NRT-code) | [i] | ||
| 6 | Linear OOA(32105, 617, F32, 2, 40) (dual of [(617, 2), 1129, 41]-NRT-code) | [i] | ||
| 7 | Linear OOA(32107, 633, F32, 2, 40) (dual of [(633, 2), 1159, 41]-NRT-code) | [i] | ||
| 8 | Digital (36, 76, 466)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |