Information on Result #672850
Linear OA(273, 4096, F2, 13) (dual of [4096, 4023, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(286, 4109, F2, 15) (dual of [4109, 4023, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
2 | Linear OA(274, 4109, F2, 13) (dual of [4109, 4035, 14]-code) | [i] | ✔ | |
3 | Linear OA(274, 4110, F2, 13) (dual of [4110, 4036, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
4 | Linear OOA(273, 2048, F2, 2, 13) (dual of [(2048, 2), 4023, 14]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(273, 1365, F2, 3, 13) (dual of [(1365, 3), 4022, 14]-NRT-code) | [i] | ||
6 | Linear OOA(273, 1024, F2, 4, 13) (dual of [(1024, 4), 4023, 14]-NRT-code) | [i] | ||
7 | Linear OOA(273, 819, F2, 5, 13) (dual of [(819, 5), 4022, 14]-NRT-code) | [i] | ||
8 | Linear OOA(273, 682, F2, 6, 13) (dual of [(682, 6), 4019, 14]-NRT-code) | [i] | ||
9 | Linear OOA(273, 682, F2, 7, 13) (dual of [(682, 7), 4701, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
10 | Linear OOA(273, 682, F2, 8, 13) (dual of [(682, 8), 5383, 14]-NRT-code) | [i] | ||
11 | Linear OOA(273, 682, F2, 13, 13) (dual of [(682, 13), 8793, 14]-NRT-code) | [i] |