Information on Result #673725
Linear OA(2147, 302, F2, 37) (dual of [302, 155, 38]-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(222, 46, F2, 9) (dual of [46, 24, 10]-code), using
- 2 times truncation [i] based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- extended quadratic residue code Qe(48,2) [i]
- 2 times truncation [i] based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-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(2147, 302, F2, 36) (dual of [302, 155, 37]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2148, 303, F2, 37) (dual of [303, 155, 38]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2149, 304, F2, 37) (dual of [304, 155, 38]-code) | [i] | ||
| 4 | Linear OA(2150, 305, F2, 37) (dual of [305, 155, 38]-code) | [i] | ||
| 5 | Linear OA(2151, 306, F2, 37) (dual of [306, 155, 38]-code) | [i] | ||
| 6 | Linear OA(2146, 301, F2, 36) (dual of [301, 155, 37]-code) | [i] | Truncation | |
| 7 | Linear OA(2150, 307, F2, 36) (dual of [307, 157, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OOA(2147, 151, F2, 2, 37) (dual of [(151, 2), 155, 38]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2147, 100, F2, 3, 37) (dual of [(100, 3), 153, 38]-NRT-code) | [i] | ||