Information on Result #610906
Linear OA(243, 16384, F2, 7) (dual of [16384, 16341, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, 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(242, 16383, F2, 6) (dual of [16383, 16341, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(258, 16399, F2, 9) (dual of [16399, 16341, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(244, 16399, F2, 7) (dual of [16399, 16355, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(258, 16400, F2, 9) (dual of [16400, 16342, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(244, 16400, F2, 7) (dual of [16400, 16356, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(243, 8192, F2, 2, 7) (dual of [(8192, 2), 16341, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(243, 5461, F2, 3, 7) (dual of [(5461, 3), 16340, 8]-NRT-code) | [i] | ||