Information on Result #604131
Linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), using dual of repetition code with length 7
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(26, 7, F2, 5) (dual of [7, 1, 6]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(273, 2056, F2, 13) (dual of [2056, 1983, 14]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(279, 4104, F2, 13) (dual of [4104, 4025, 14]-code) | [i] | ||
| 4 | Linear OA(285, 8200, F2, 13) (dual of [8200, 8115, 14]-code) | [i] | ||
| 5 | Linear OA(291, 16392, F2, 13) (dual of [16392, 16301, 14]-code) | [i] | ||
| 6 | Linear OA(297, 32776, F2, 13) (dual of [32776, 32679, 14]-code) | [i] | ||
| 7 | Linear OA(2103, 65544, F2, 13) (dual of [65544, 65441, 14]-code) | [i] | ||
| 8 | Linear OA(2109, 131080, F2, 13) (dual of [131080, 130971, 14]-code) | [i] | ||
| 9 | Linear OA(2115, 262152, F2, 13) (dual of [262152, 262037, 14]-code) | [i] | ||
| 10 | Linear OA(2121, 524296, F2, 13) (dual of [524296, 524175, 14]-code) | [i] | ||
| 11 | Linear OA(2127, 1048584, F2, 13) (dual of [1048584, 1048457, 14]-code) | [i] | ||
| 12 | Linear OA(2133, 2097160, F2, 13) (dual of [2097160, 2097027, 14]-code) | [i] | ||
| 13 | Linear OA(2139, 4194312, F2, 13) (dual of [4194312, 4194173, 14]-code) | [i] | ||
| 14 | Linear OA(263, 136, F2, 17) (dual of [136, 73, 18]-code) | [i] | ||
| 15 | Linear OA(271, 264, F2, 17) (dual of [264, 193, 18]-code) | [i] | ||
| 16 | Linear OA(287, 1032, F2, 17) (dual of [1032, 945, 18]-code) | [i] | ||
| 17 | Linear OA(291, 136, F2, 25) (dual of [136, 45, 26]-code) | [i] | ||
| 18 | Linear OA(282, 98, F2, 27) (dual of [98, 16, 28]-code) | [i] | ||
| 19 | Linear OA(2102, 112, F2, 41) (dual of [112, 10, 42]-code) | [i] | ||
| 20 | Linear OA(2104, 112, F2, 51) (dual of [112, 8, 52]-code) | [i] | ||
| 21 | Linear OA(2210, 224, F2, 83) (dual of [224, 14, 84]-code) | [i] | ||
| 22 | Linear OA(2111, 119, F2, 55) (dual of [119, 8, 56]-code) | [i] | Construction XX with Cyclic Codes | |
| 23 | Linear OA(2108, 116, F2, 53) (dual of [116, 8, 54]-code) | [i] | ||
| 24 | Linear OA(282, 109, F2, 30) (dual of [109, 27, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 25 | Linear OA(2166, 207, F2, 58) (dual of [207, 41, 59]-code) | [i] | ||
| 26 | Linear OA(2168, 205, F2, 60) (dual of [205, 37, 61]-code) | [i] | ||
| 27 | Linear OA(2218, 271, F2, 74) (dual of [271, 53, 75]-code) | [i] | ||
| 28 | Linear OA(2254, 311, F2, 86) (dual of [311, 57, 87]-code) | [i] | ||
| 29 | Linear OA(298, 135, F2, 34) (dual of [135, 37, 35]-code) | [i] | ||
| 30 | Linear OA(2161, 203, F2, 56) (dual of [203, 42, 57]-code) | [i] | ||
| 31 | Linear OA(2179, 216, F2, 64) (dual of [216, 37, 65]-code) | [i] | ||
| 32 | Linear OA(2106, 207, F2, 30) (dual of [207, 101, 31]-code) | [i] | ||
| 33 | Linear OA(2199, 264, F2, 64) (dual of [264, 65, 65]-code) | [i] | ||