Information on Result #801587
Linear OA(2237, 65584, F2, 29) (dual of [65584, 65347, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(2225, 65536, F2, 29) (dual of [65536, 65311, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2177, 65536, F2, 23) (dual of [65536, 65359, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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
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 OA(2236, 65583, F2, 28) (dual of [65583, 65347, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(2237, 32792, F2, 2, 29) (dual of [(32792, 2), 65347, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2237, 21861, F2, 3, 29) (dual of [(21861, 3), 65346, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2237, 16396, F2, 4, 29) (dual of [(16396, 4), 65347, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2237, 9369, F2, 7, 29) (dual of [(9369, 7), 65346, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(2237, 8198, F2, 8, 29) (dual of [(8198, 8), 65347, 30]-NRT-code) | [i] | ||