Information on Result #628343
Linear OA(818, 130, F8, 9) (dual of [130, 112, 10]-code), using trace code based on linear OA(649, 65, F64, 9) (dual of [65, 56, 10]-code or 65-arc in PG(8,64)), using
- extended Reed–Solomon code RSe(56,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(819, 131, F8, 9) (dual of [131, 112, 10]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8159, 2097227, F8, 23) (dual of [2097227, 2097068, 24]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(8159, 32837, F8, 31) (dual of [32837, 32678, 32]-code) | [i] | ||
| 4 | Linear OA(8149, 32837, F8, 29) (dual of [32837, 32688, 30]-code) | [i] | ||
| 5 | Linear OA(8166, 2097226, F8, 25) (dual of [2097226, 2097060, 26]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(8166, 2097233, F8, 24) (dual of [2097233, 2097067, 25]-code) | [i] | ||
| 7 | Linear OA(8159, 2097233, F8, 23) (dual of [2097233, 2097074, 24]-code) | [i] | ||
| 8 | Linear OA(8152, 2097233, F8, 22) (dual of [2097233, 2097081, 23]-code) | [i] | ||
| 9 | Linear OA(8169, 262216, F8, 29) (dual of [262216, 262047, 30]-code) | [i] | ||
| 10 | Linear OA(8163, 262216, F8, 28) (dual of [262216, 262053, 29]-code) | [i] | ||
| 11 | Linear OA(8157, 262216, F8, 27) (dual of [262216, 262059, 28]-code) | [i] | ||
| 12 | Linear OOA(818, 65, F8, 2, 9) (dual of [(65, 2), 112, 10]-NRT-code) | [i] | OOA Folding | |