Information on Result #619440
Linear OA(8173, 6562, F81, 37) (dual of [6562, 6489, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound)
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(9146, 13124, F9, 37) (dual of [13124, 12978, 38]-code) | [i] | Trace Code | |
| 2 | Linear OA(8178, 6567, F81, 39) (dual of [6567, 6489, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(8174, 6567, F81, 37) (dual of [6567, 6493, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(8176, 6573, F81, 37) (dual of [6573, 6497, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(8178, 6579, F81, 37) (dual of [6579, 6501, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(8180, 6585, F81, 37) (dual of [6585, 6505, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(8182, 6591, F81, 37) (dual of [6591, 6509, 38]-code) | [i] | ✔ | |
| 8 | Linear OOA(8173, 3281, F81, 2, 37) (dual of [(3281, 2), 6489, 38]-NRT-code) | [i] | OOA Folding | |