Information on Result #605217
Linear OA(857, 58, F8, 57) (dual of [58, 1, 58]-code or 58-arc in PG(56,8)), using dual of repetition code with length 58
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(857, 58, F8, 56) (dual of [58, 1, 57]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(857, 58, F8, 55) (dual of [58, 1, 56]-code) | [i] | ||
| 3 | Linear OA(857, 58, F8, 54) (dual of [58, 1, 55]-code) | [i] | ||
| 4 | Linear OA(857, 58, F8, 53) (dual of [58, 1, 54]-code) | [i] | ||
| 5 | Linear OA(857, 58, F8, 52) (dual of [58, 1, 53]-code) | [i] | ||
| 6 | Linear OA(885, 103, F8, 57) (dual of [103, 18, 58]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(8106, 188, F8, 57) (dual of [188, 82, 58]-code) | [i] | ||
| 8 | Linear OA(8107, 194, F8, 57) (dual of [194, 87, 58]-code) | [i] | ||
| 9 | Linear OA(8113, 235, F8, 57) (dual of [235, 122, 58]-code) | [i] | ||
| 10 | Linear OA(8120, 296, F8, 57) (dual of [296, 176, 58]-code) | [i] | ||
| 11 | Linear OA(8140, 590, F8, 57) (dual of [590, 450, 58]-code) | [i] | ||
| 12 | Linear OA(8165, 1449, F8, 57) (dual of [1449, 1284, 58]-code) | [i] | ||