Information on Result #604133
Linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using dual of repetition code with length 9
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(28, 9, F2, 7) (dual of [9, 1, 8]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(28, 9, F2, 6) (dual of [9, 1, 7]-code) | [i] | ||
| 3 | Linear OA(281, 522, F2, 17) (dual of [522, 441, 18]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(297, 2058, F2, 17) (dual of [2058, 1961, 18]-code) | [i] | ||
| 5 | Linear OA(2105, 4106, F2, 17) (dual of [4106, 4001, 18]-code) | [i] | ||
| 6 | Linear OA(2113, 8202, F2, 17) (dual of [8202, 8089, 18]-code) | [i] | ||
| 7 | Linear OA(2121, 16394, F2, 17) (dual of [16394, 16273, 18]-code) | [i] | ||
| 8 | Linear OA(2129, 32778, F2, 17) (dual of [32778, 32649, 18]-code) | [i] | ||
| 9 | Linear OA(2137, 65546, F2, 17) (dual of [65546, 65409, 18]-code) | [i] | ||
| 10 | Linear OA(2145, 131082, F2, 17) (dual of [131082, 130937, 18]-code) | [i] | ||
| 11 | Linear OA(2153, 262154, F2, 17) (dual of [262154, 262001, 18]-code) | [i] | ||
| 12 | Linear OA(2161, 524298, F2, 17) (dual of [524298, 524137, 18]-code) | [i] | ||
| 13 | Linear OA(2169, 1048586, F2, 17) (dual of [1048586, 1048417, 18]-code) | [i] | ||
| 14 | Linear OA(2177, 2097162, F2, 17) (dual of [2097162, 2096985, 18]-code) | [i] | ||
| 15 | Linear OA(2185, 4194314, F2, 17) (dual of [4194314, 4194129, 18]-code) | [i] | ||
| 16 | Linear OA(299, 522, F2, 21) (dual of [522, 423, 22]-code) | [i] | ||
| 17 | Linear OA(2109, 1034, F2, 21) (dual of [1034, 925, 22]-code) | [i] | ||
| 18 | Linear OA(299, 180, F2, 25) (dual of [180, 81, 26]-code) | [i] | ||
| 19 | Linear OA(2120, 142, F2, 39) (dual of [142, 22, 40]-code) | [i] | ||
| 20 | Linear OA(2159, 180, F2, 49) (dual of [180, 21, 50]-code) | [i] | ||
| 21 | Linear OA(2251, 276, F2, 65) (dual of [276, 25, 66]-code) | [i] | ||
| 22 | Linear OA(2216, 228, F2, 81) (dual of [228, 12, 82]-code) | [i] | ||
| 23 | Linear OA(2128, 158, F2, 48) (dual of [158, 30, 49]-code) | [i] | Construction X with Varšamov Bound | |
| 24 | Linear OA(2172, 209, F2, 62) (dual of [209, 37, 63]-code) | [i] | ||
| 25 | Linear OA(2174, 207, F2, 64) (dual of [207, 33, 65]-code) | [i] | ||
| 26 | Linear OA(2178, 207, F2, 68) (dual of [207, 29, 69]-code) | [i] | ||
| 27 | Linear OA(2139, 169, F2, 52) (dual of [169, 30, 53]-code) | [i] | ||