Information on Result #610904
Linear OA(237, 4096, F2, 7) (dual of [4096, 4059, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, 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(236, 4095, F2, 6) (dual of [4095, 4059, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(250, 4109, F2, 9) (dual of [4109, 4059, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(238, 4109, F2, 7) (dual of [4109, 4071, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(250, 4110, F2, 9) (dual of [4110, 4060, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(238, 4110, F2, 7) (dual of [4110, 4072, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(237, 2048, F2, 2, 7) (dual of [(2048, 2), 4059, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(237, 1365, F2, 3, 7) (dual of [(1365, 3), 4058, 8]-NRT-code) | [i] | ||