Information on Result #1053677
Linear OOA(2227, 8196, F2, 4, 31) (dual of [(8196, 4), 32557, 32]-NRT-code), using OOA 4-folding based on linear OA(2227, 32784, F2, 31) (dual of [32784, 32557, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-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(2231, 8197, F2, 4, 31) (dual of [(8197, 4), 32557, 32]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2228, 8196, F2, 4, 31) (dual of [(8196, 4), 32556, 32]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2229, 8196, F2, 4, 31) (dual of [(8196, 4), 32555, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(2230, 8196, F2, 4, 31) (dual of [(8196, 4), 32554, 32]-NRT-code) | [i] | ||