Information on Result #619449
Linear OA(8177, 6562, F81, 39) (dual of [6562, 6485, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(8182, 6567, F81, 41) (dual of [6567, 6485, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8178, 6567, F81, 39) (dual of [6567, 6489, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(8180, 6573, F81, 39) (dual of [6573, 6493, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(8182, 6579, F81, 39) (dual of [6579, 6497, 40]-code) | [i] | ✔ | |
| 5 | Linear OOA(8177, 3281, F81, 2, 39) (dual of [(3281, 2), 6485, 40]-NRT-code) | [i] | OOA Folding | |