Information on Result #673583
Linear OA(2232, 269, F2, 95) (dual of [269, 37, 96]-code), using construction X applied to Ce(94) ⊂ Ce(90) based on
- linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(2219, 256, F2, 91) (dual of [256, 37, 92]-code), using an extension Ce(90) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2231, 268, F2, 94) (dual of [268, 37, 95]-code) | [i] | Truncation | |
| 2 | Linear OOA(2232, 134, F2, 2, 95) (dual of [(134, 2), 36, 96]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2232, 89, F2, 3, 95) (dual of [(89, 3), 35, 96]-NRT-code) | [i] | ||
| 4 | Linear OOA(2232, 53, F2, 5, 95) (dual of [(53, 5), 33, 96]-NRT-code) | [i] | ||
| 5 | Linear OOA(2232, 38, F2, 7, 95) (dual of [(38, 7), 34, 96]-NRT-code) | [i] | ||