Information on Result #870278
Linear OOA(3255, 513, F32, 2, 28) (dual of [(513, 2), 971, 29]-NRT-code), using OOA 2-folding based on linear OA(3255, 1026, F32, 28) (dual of [1026, 971, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(3255, 1024, F32, 28) (dual of [1024, 969, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(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(3269, 546, F32, 2, 28) (dual of [(546, 2), 1023, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3270, 557, F32, 2, 28) (dual of [(557, 2), 1044, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3272, 577, F32, 2, 28) (dual of [(577, 2), 1082, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3274, 589, F32, 2, 28) (dual of [(589, 2), 1104, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(3276, 611, F32, 2, 28) (dual of [(611, 2), 1146, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(3278, 617, F32, 2, 28) (dual of [(617, 2), 1156, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(3280, 633, F32, 2, 28) (dual of [(633, 2), 1186, 29]-NRT-code) | [i] | ||
| 8 | Digital (27, 55, 497)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |