Information on Result #801614
Linear OA(2225, 555, F2, 51) (dual of [555, 330, 52]-code), using construction X applied to Ce(50) ⊂ Ce(42) based on
- linear OA(2208, 512, F2, 51) (dual of [512, 304, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2181, 512, F2, 43) (dual of [512, 331, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(217, 43, F2, 7) (dual of [43, 26, 8]-code), using
- adding a parity check bit [i] based on linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (10, 16, 42)-net over F2, using
- adding a parity check bit [i] based on linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-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(2224, 554, F2, 50) (dual of [554, 330, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(2225, 277, F2, 2, 51) (dual of [(277, 2), 329, 52]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2225, 185, F2, 3, 51) (dual of [(185, 3), 330, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(2225, 111, F2, 5, 51) (dual of [(111, 5), 330, 52]-NRT-code) | [i] | ||