Information on Result #699376
Linear OA(8173, 6561, F81, 37) (dual of [6561, 6488, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(8175, 6563, F81, 38) (dual of [6563, 6488, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8173, 6563, F81, 37) (dual of [6563, 6490, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(8181, 6569, F81, 40) (dual of [6569, 6488, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(8175, 6569, F81, 37) (dual of [6569, 6494, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(8177, 6575, F81, 37) (dual of [6575, 6498, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(8179, 6581, F81, 37) (dual of [6581, 6502, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(8181, 6587, F81, 37) (dual of [6587, 6506, 38]-code) | [i] | ✔ | |
| 8 | Linear OOA(8173, 2187, F81, 3, 37) (dual of [(2187, 3), 6488, 38]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8173, 1640, F81, 4, 37) (dual of [(1640, 4), 6487, 38]-NRT-code) | [i] | ||