Information on Result #610905
Linear OA(240, 8192, F2, 7) (dual of [8192, 8152, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(239, 8191, F2, 6) (dual of [8191, 8152, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(254, 8206, F2, 9) (dual of [8206, 8152, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(241, 8206, F2, 7) (dual of [8206, 8165, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(254, 8207, F2, 9) (dual of [8207, 8153, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(241, 8207, F2, 7) (dual of [8207, 8166, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(240, 4096, F2, 2, 7) (dual of [(4096, 2), 8152, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(240, 2730, F2, 3, 7) (dual of [(2730, 3), 8150, 8]-NRT-code) | [i] | ||