Information on Result #604134
Linear OA(29, 10, F2, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,2)), using dual of repetition code with length 10
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(29, 10, F2, 8) (dual of [10, 1, 9]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(29, 10, F2, 7) (dual of [10, 1, 8]-code) | [i] | ||
| 3 | Linear OA(266, 138, F2, 19) (dual of [138, 72, 20]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(278, 266, F2, 19) (dual of [266, 188, 20]-code) | [i] | ||
| 5 | Linear OA(230, 137, F2, 8) (dual of [137, 107, 9]-code) | [i] | Construction X4 with Cyclic Codes | |
| 6 | Linear OA(234, 266, F2, 9) (dual of [266, 232, 10]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(226, 266, F2, 7) (dual of [266, 240, 8]-code) | [i] | ||
| 8 | Linear OA(218, 266, F2, 5) (dual of [266, 248, 6]-code) | [i] | ||
| 9 | Linear OA(2106, 136, F2, 40) (dual of [136, 30, 41]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(2116, 146, F2, 44) (dual of [146, 30, 45]-code) | [i] | ||
| 11 | Linear OA(2133, 163, F2, 50) (dual of [163, 30, 51]-code) | [i] | ||
| 12 | Linear OA(2177, 210, F2, 66) (dual of [210, 33, 67]-code) | [i] | ||