Information on Result #611062
Linear OA(2148, 2097152, F2, 15) (dual of [2097152, 2097004, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, 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(2147, 2097151, F2, 14) (dual of [2097151, 2097004, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(2170, 2097174, F2, 17) (dual of [2097174, 2097004, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2149, 2097174, F2, 15) (dual of [2097174, 2097025, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(2196, 2097184, F2, 19) (dual of [2097184, 2096988, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(2197, 2097201, F2, 19) (dual of [2097201, 2097004, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(2154, 2097184, F2, 15) (dual of [2097184, 2097030, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(2170, 2097175, F2, 17) (dual of [2097175, 2097005, 18]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(2149, 2097175, F2, 15) (dual of [2097175, 2097026, 16]-code) | [i] | ✔ | |
| 9 | Linear OOA(2148, 1048576, F2, 2, 15) (dual of [(1048576, 2), 2097004, 16]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2148, 699050, F2, 3, 15) (dual of [(699050, 3), 2097002, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2148, 524288, F2, 4, 15) (dual of [(524288, 4), 2097004, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2148, 419430, F2, 5, 15) (dual of [(419430, 5), 2097002, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2148, 349525, F2, 6, 15) (dual of [(349525, 6), 2097002, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2148, 299593, F2, 7, 15) (dual of [(299593, 7), 2097003, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2148, 299593, F2, 8, 15) (dual of [(299593, 8), 2396596, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 16 | Linear OOA(2148, 299593, F2, 15, 15) (dual of [(299593, 15), 4493747, 16]-NRT-code) | [i] | ||