Information on Result #611315
Linear OA(2256, 131072, F2, 31) (dual of [131072, 130816, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(2255, 131071, F2, 30) (dual of [131071, 130816, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(2257, 131090, F2, 31) (dual of [131090, 130833, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OOA(2256, 65536, F2, 2, 31) (dual of [(65536, 2), 130816, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2256, 43690, F2, 3, 31) (dual of [(43690, 3), 130814, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 32768, F2, 4, 31) (dual of [(32768, 4), 130816, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(2256, 26214, F2, 5, 31) (dual of [(26214, 5), 130814, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(2256, 21845, F2, 6, 31) (dual of [(21845, 6), 130814, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(2256, 18724, F2, 7, 31) (dual of [(18724, 7), 130812, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(2256, 16384, F2, 8, 31) (dual of [(16384, 8), 130816, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(2256, 8738, F2, 31, 31) (dual of [(8738, 31), 270622, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |