Information on Result #1152781
Linear OOA(2247, 1177, F2, 7, 37) (dual of [(1177, 7), 7992, 38]-NRT-code), using OOA 7-folding based on linear OA(2247, 8239, F2, 37) (dual of [8239, 7992, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(2247, 8240, F2, 37) (dual of [8240, 7993, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- linear OA(2235, 8192, F2, 37) (dual of [8192, 7957, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2196, 8192, F2, 31) (dual of [8192, 7996, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- extracting embedded orthogonal array [i] based on digital (7, 11, 47)-net over F2, using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
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(2247, 1177, F2, 7, 36) (dual of [(1177, 7), 7992, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2248, 1177, F2, 7, 37) (dual of [(1177, 7), 7991, 38]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2249, 1177, F2, 7, 37) (dual of [(1177, 7), 7990, 38]-NRT-code) | [i] | ||