Information on Result #611055
Linear OA(299, 16384, F2, 15) (dual of [16384, 16285, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(298, 16383, F2, 14) (dual of [16383, 16285, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(2114, 16399, F2, 17) (dual of [16399, 16285, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2100, 16399, F2, 15) (dual of [16399, 16299, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(2133, 16416, F2, 19) (dual of [16416, 16283, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(2134, 16419, F2, 19) (dual of [16419, 16285, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(2105, 16416, F2, 15) (dual of [16416, 16311, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(2100, 16400, F2, 15) (dual of [16400, 16300, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 8 | Linear OOA(299, 8192, F2, 2, 15) (dual of [(8192, 2), 16285, 16]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(299, 5461, F2, 3, 15) (dual of [(5461, 3), 16284, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(299, 4096, F2, 4, 15) (dual of [(4096, 4), 16285, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(299, 3276, F2, 5, 15) (dual of [(3276, 5), 16281, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(299, 2730, F2, 6, 15) (dual of [(2730, 6), 16281, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(299, 2340, F2, 7, 15) (dual of [(2340, 7), 16281, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(299, 2340, F2, 8, 15) (dual of [(2340, 8), 18621, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 15 | Linear OOA(299, 2340, F2, 15, 15) (dual of [(2340, 15), 35001, 16]-NRT-code) | [i] | ||