Information on Result #673586
Linear OA(2223, 264, F2, 91) (dual of [264, 41, 92]-code), using construction X applied to Ce(90) ⊂ Ce(86) based on
- 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(2211, 256, F2, 87) (dual of [256, 45, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [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(2222, 263, F2, 90) (dual of [263, 41, 91]-code) | [i] | Truncation | |
| 2 | Linear OA(2132, 172, F2, 45) (dual of [172, 40, 46]-code) | [i] | Residual Code | |
| 3 | Linear OOA(2223, 132, F2, 2, 91) (dual of [(132, 2), 41, 92]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2223, 88, F2, 3, 91) (dual of [(88, 3), 41, 92]-NRT-code) | [i] | ||