Information on Result #699412
Linear OA(8125, 6561, F81, 13) (dual of [6561, 6536, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(8127, 6563, F81, 14) (dual of [6563, 6536, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8125, 6563, F81, 13) (dual of [6563, 6538, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(8133, 6569, F81, 16) (dual of [6569, 6536, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(8127, 6569, F81, 13) (dual of [6569, 6542, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(8139, 6575, F81, 18) (dual of [6575, 6536, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(8129, 6575, F81, 13) (dual of [6575, 6546, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(8145, 6581, F81, 20) (dual of [6581, 6536, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(8151, 6587, F81, 22) (dual of [6587, 6536, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(8157, 6593, F81, 24) (dual of [6593, 6536, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(8163, 6599, F81, 26) (dual of [6599, 6536, 27]-code) | [i] | ✔ | |
| 11 | Linear OOA(8125, 2187, F81, 3, 13) (dual of [(2187, 3), 6536, 14]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(8125, 1640, F81, 4, 13) (dual of [(1640, 4), 6535, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(8125, 1093, F81, 13, 13) (dual of [(1093, 13), 14184, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |