Information on Result #673615
Linear OA(2129, 264, F2, 35) (dual of [264, 135, 36]-code), using construction X applied to Ce(36) ⊂ Ce(30) 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(2117, 256, F2, 31) (dual of [256, 139, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(2128, 263, F2, 34) (dual of [263, 135, 35]-code) | [i] | Truncation | |
| 2 | Linear OOA(2129, 132, F2, 2, 35) (dual of [(132, 2), 135, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2129, 88, F2, 3, 35) (dual of [(88, 3), 135, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(2129, 66, F2, 4, 35) (dual of [(66, 4), 135, 36]-NRT-code) | [i] | ||