Information on Result #610909
Linear OA(252, 131072, F2, 7) (dual of [131072, 131020, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, 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(251, 131071, F2, 6) (dual of [131071, 131020, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(270, 131090, F2, 9) (dual of [131090, 131020, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(253, 131090, F2, 7) (dual of [131090, 131037, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(270, 131091, F2, 9) (dual of [131091, 131021, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(253, 131091, F2, 7) (dual of [131091, 131038, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(252, 65536, F2, 2, 7) (dual of [(65536, 2), 131020, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(252, 43690, F2, 3, 7) (dual of [(43690, 3), 131018, 8]-NRT-code) | [i] | ||