Information on Result #699418
Linear OA(8117, 6561, F81, 9) (dual of [6561, 6544, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(8119, 6563, F81, 10) (dual of [6563, 6544, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8117, 6563, F81, 9) (dual of [6563, 6546, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(8125, 6569, F81, 12) (dual of [6569, 6544, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(8119, 6569, F81, 9) (dual of [6569, 6550, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(8131, 6575, F81, 14) (dual of [6575, 6544, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(8137, 6581, F81, 16) (dual of [6581, 6544, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(8143, 6587, F81, 18) (dual of [6587, 6544, 19]-code) | [i] | ✔ | |
| 8 | Linear OOA(8117, 2187, F81, 3, 9) (dual of [(2187, 3), 6544, 10]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8117, 1640, F81, 4, 9) (dual of [(1640, 4), 6543, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(8117, 1640, F81, 9, 9) (dual of [(1640, 9), 14743, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |