Information on Result #801584
Linear OA(2251, 131120, F2, 29) (dual of [131120, 130869, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(2239, 131072, F2, 29) (dual of [131072, 130833, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, 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(2250, 131119, F2, 28) (dual of [131119, 130869, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(2251, 65560, F2, 2, 29) (dual of [(65560, 2), 130869, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2251, 32780, F2, 4, 29) (dual of [(32780, 4), 130869, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 26224, F2, 5, 29) (dual of [(26224, 5), 130869, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2251, 16390, F2, 8, 29) (dual of [(16390, 8), 130869, 30]-NRT-code) | [i] | ||