Information on Result #619442
Linear OA(8175, 6561, F81, 38) (dual of [6561, 6486, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(9150, 13122, F9, 38) (dual of [13122, 12972, 39]-code) | [i] | Trace Code | |
| 2 | Linear OA(8177, 6563, F81, 39) (dual of [6563, 6486, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(8175, 6563, F81, 38) (dual of [6563, 6488, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(8180, 6566, F81, 40) (dual of [6566, 6486, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(8176, 6566, F81, 38) (dual of [6566, 6490, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(8177, 6569, F81, 38) (dual of [6569, 6492, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(8178, 6572, F81, 38) (dual of [6572, 6494, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(8179, 6575, F81, 38) (dual of [6575, 6496, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(8180, 6578, F81, 38) (dual of [6578, 6498, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(8181, 6581, F81, 38) (dual of [6581, 6500, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(8182, 6584, F81, 38) (dual of [6584, 6502, 39]-code) | [i] | ✔ | |
| 12 | Linear OOA(8175, 2187, F81, 3, 38) (dual of [(2187, 3), 6486, 39]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(8175, 1640, F81, 4, 38) (dual of [(1640, 4), 6485, 39]-NRT-code) | [i] | ||