Information on Result #801619
Linear OA(2142, 297, F2, 35) (dual of [297, 155, 36]-code), using construction X applied to Ce(36) ⊂ Ce(26) based on
- linear OA(2125, 256, F2, 37) (dual of [256, 131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2101, 256, F2, 27) (dual of [256, 155, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(217, 41, F2, 7) (dual of [41, 24, 8]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(217, 43, F2, 7) (dual of [43, 26, 8]-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(2141, 296, F2, 34) (dual of [296, 155, 35]-code) | [i] | Truncation | |
| 2 | Linear OOA(2142, 99, F2, 3, 35) (dual of [(99, 3), 155, 36]-NRT-code) | [i] | OOA Folding | |