Information on Result #610981
Linear OA(261, 4096, F2, 11) (dual of [4096, 4035, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(260, 4095, F2, 10) (dual of [4095, 4035, 11]-code) | [i] | Truncation | |
| 2 | Linear OA(274, 4109, F2, 13) (dual of [4109, 4035, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(262, 4109, F2, 11) (dual of [4109, 4047, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(291, 4126, F2, 15) (dual of [4126, 4035, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(274, 4110, F2, 13) (dual of [4110, 4036, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(262, 4110, F2, 11) (dual of [4110, 4048, 12]-code) | [i] | ✔ | |
| 7 | Linear OOA(261, 2048, F2, 2, 11) (dual of [(2048, 2), 4035, 12]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(261, 1365, F2, 3, 11) (dual of [(1365, 3), 4034, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(261, 1024, F2, 4, 11) (dual of [(1024, 4), 4035, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(261, 819, F2, 5, 11) (dual of [(819, 5), 4034, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(261, 819, F2, 6, 11) (dual of [(819, 6), 4853, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 12 | Linear OOA(261, 819, F2, 7, 11) (dual of [(819, 7), 5672, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(261, 819, F2, 8, 11) (dual of [(819, 8), 6491, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(261, 819, F2, 11, 11) (dual of [(819, 11), 8948, 12]-NRT-code) | [i] | ||