Information on Result #610913
Linear OA(264, 2097152, F2, 7) (dual of [2097152, 2097088, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, 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(263, 2097151, F2, 6) (dual of [2097151, 2097088, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(286, 2097174, F2, 9) (dual of [2097174, 2097088, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(265, 2097174, F2, 7) (dual of [2097174, 2097109, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(286, 2097175, F2, 9) (dual of [2097175, 2097089, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(265, 2097175, F2, 7) (dual of [2097175, 2097110, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(264, 1048576, F2, 2, 7) (dual of [(1048576, 2), 2097088, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(264, 699050, F2, 3, 7) (dual of [(699050, 3), 2097086, 8]-NRT-code) | [i] | ||