Information on Result #611052
Linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, 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(277, 2047, F2, 14) (dual of [2047, 1970, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(290, 2060, F2, 17) (dual of [2060, 1970, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(279, 2060, F2, 15) (dual of [2060, 1981, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(2106, 2076, F2, 19) (dual of [2076, 1970, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(284, 2076, F2, 15) (dual of [2076, 1992, 16]-code) | [i] | ✔ | |
| 6 | Linear OOA(278, 1024, F2, 2, 15) (dual of [(1024, 2), 1970, 16]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(278, 682, F2, 3, 15) (dual of [(682, 3), 1968, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(278, 512, F2, 4, 15) (dual of [(512, 4), 1970, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(278, 409, F2, 5, 15) (dual of [(409, 5), 1967, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(278, 341, F2, 6, 15) (dual of [(341, 6), 1968, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(278, 292, F2, 7, 15) (dual of [(292, 7), 1966, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(278, 292, F2, 8, 15) (dual of [(292, 8), 2258, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 13 | Linear OOA(278, 292, F2, 15, 15) (dual of [(292, 15), 4302, 16]-NRT-code) | [i] | ||