Information on Result #614799
Linear OA(829, 2097153, F8, 5) (dual of [2097153, 2097124, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(831, 2097162, F8, 5) (dual of [2097162, 2097131, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(832, 2097226, F8, 5) (dual of [2097226, 2097194, 6]-code) | [i] | ||
| 3 | Linear OA(832, 2097171, F8, 5) (dual of [2097171, 2097139, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(831, 2097156, F8, 5) (dual of [2097156, 2097125, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(844, 2097168, F8, 7) (dual of [2097168, 2097124, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(830, 2097168, F8, 5) (dual of [2097168, 2097138, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(844, 2097169, F8, 7) (dual of [2097169, 2097125, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 8 | Linear OA(830, 2097169, F8, 5) (dual of [2097169, 2097139, 6]-code) | [i] | ✔ | |