Information on Result #1096952
Linear OOA(2231, 6559, F2, 5, 30) (dual of [(6559, 5), 32564, 31]-NRT-code), using OOA 5-folding based on linear OA(2231, 32795, F2, 30) (dual of [32795, 32564, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, 32799, F2, 30) (dual of [32799, 32568, 31]-code), using
- 1 times truncation [i] based on linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [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(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- 1 times truncation [i] based on linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code), 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, 6559, F2, 6, 30) (dual of [(6559, 6), 39123, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2231, 6559, F2, 7, 30) (dual of [(6559, 7), 45682, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(2231, 6559, F2, 8, 30) (dual of [(6559, 8), 52241, 31]-NRT-code) | [i] | ||
| 4 | Digital (201, 231, 6559)-net over F2 | [i] | ||