Information on Result #673684
Linear OA(2141, 288, F2, 37) (dual of [288, 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(216, 32, F2, 7) (dual of [32, 16, 8]-code), using
- Reed–Muller code RM(2,5) [i]
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, 288, F2, 36) (dual of [288, 147, 37]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2142, 289, F2, 37) (dual of [289, 147, 38]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2140, 287, F2, 36) (dual of [287, 147, 37]-code) | [i] | Truncation | |
| 4 | Linear OOA(2141, 144, F2, 2, 37) (dual of [(144, 2), 147, 38]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2141, 96, F2, 3, 37) (dual of [(96, 3), 147, 38]-NRT-code) | [i] | ||