Information on Result #1323460
Linear OA(2140, 287, F2, 37) (dual of [287, 147, 38]-code), using construction X applied to Ce(36) ⊂ Ce(28) 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(2109, 256, F2, 29) (dual of [256, 147, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(215, 31, F2, 7) (dual of [31, 16, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(215, 32, F2, 7) (dual of [32, 17, 8]-code), using
- a “CS†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(215, 32, F2, 7) (dual of [32, 17, 8]-code), using
Mode: 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(2139, 286, F2, 36) (dual of [286, 147, 37]-code) | [i] | Truncation | |