Information on Result #870201
Linear OOA(3253, 513, F32, 2, 27) (dual of [(513, 2), 973, 28]-NRT-code), using OOA 2-folding based on linear OA(3253, 1026, F32, 27) (dual of [1026, 973, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(3253, 1024, F32, 27) (dual of [1024, 971, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3251, 1024, F32, 26) (dual of [1024, 973, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3266, 546, F32, 2, 27) (dual of [(546, 2), 1026, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3267, 557, F32, 2, 27) (dual of [(557, 2), 1047, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3269, 577, F32, 2, 27) (dual of [(577, 2), 1085, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3271, 589, F32, 2, 27) (dual of [(589, 2), 1107, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(3273, 611, F32, 2, 27) (dual of [(611, 2), 1149, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(3275, 617, F32, 2, 27) (dual of [(617, 2), 1159, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(3276, 621, F32, 2, 27) (dual of [(621, 2), 1166, 28]-NRT-code) | [i] | ||
| 8 | Digital (26, 53, 488)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |