Information on Result #672389
Linear OA(2217, 262144, F2, 25) (dual of [262144, 261927, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2236, 262163, F2, 27) (dual of [262163, 261927, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2218, 262163, F2, 25) (dual of [262163, 261945, 26]-code) | [i] | ✔ | |
| 3 | Linear OOA(2217, 131072, F2, 2, 25) (dual of [(131072, 2), 261927, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2217, 87381, F2, 3, 25) (dual of [(87381, 3), 261926, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(2217, 65536, F2, 4, 25) (dual of [(65536, 4), 261927, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(2217, 43690, F2, 6, 25) (dual of [(43690, 6), 261923, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(2217, 37449, F2, 7, 25) (dual of [(37449, 7), 261926, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(2217, 32768, F2, 8, 25) (dual of [(32768, 8), 261927, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(2217, 21845, F2, 25, 25) (dual of [(21845, 25), 545908, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |