Information on Result #610023
Linear OA(27, 9, F2, 5) (dual of [9, 2, 6]-code), using repeating each code word 3 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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, 8, F2, 4) (dual of [8, 2, 5]-code) | [i] | Truncation | |
| 2 | Linear OA(2191, 264, F2, 60) (dual of [264, 73, 61]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(2141, 274, F2, 38) (dual of [274, 133, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 4 | Linear OA(2202, 275, F2, 62) (dual of [275, 73, 63]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 5 | Linear OA(2254, 265, F2, 125) (dual of [265, 11, 126]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(2250, 265, F2, 117) (dual of [265, 15, 118]-code) | [i] | ||
| 7 | Linear OA(2132, 265, F2, 37) (dual of [265, 133, 38]-code) | [i] | ||
| 8 | Linear OA(2127, 137, F2, 61) (dual of [137, 10, 62]-code) | [i] | ||
| 9 | Linear OA(2161, 294, F2, 43) (dual of [294, 133, 44]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(2156, 289, F2, 41) (dual of [289, 133, 42]-code) | [i] | ||
| 11 | Linear OA(2143, 276, F2, 39) (dual of [276, 133, 40]-code) | [i] | ||
| 12 | Linear OA(2127, 136, F2, 61) (dual of [136, 9, 62]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 13 | Linear OA(2120, 136, F2, 53) (dual of [136, 16, 54]-code) | [i] | ||
| 14 | Linear OA(2119, 136, F2, 52) (dual of [136, 17, 53]-code) | [i] | ||
| 15 | Linear OA(2250, 264, F2, 117) (dual of [264, 14, 118]-code) | [i] | ||
| 16 | Linear OA(2141, 158, F2, 60) (dual of [158, 17, 61]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 17 | Linear OA(2151, 283, F2, 40) (dual of [283, 132, 41]-code) | [i] | Construction X with Varšamov Bound | |
| 18 | Linear OA(2152, 285, F2, 40) (dual of [285, 133, 41]-code) | [i] | ||
| 19 | Linear OA(2164, 210, F2, 54) (dual of [210, 46, 55]-code) | [i] | ||
| 20 | Linear OA(2166, 208, F2, 56) (dual of [208, 42, 57]-code) | [i] | ||
| 21 | Linear OA(2216, 274, F2, 70) (dual of [274, 58, 71]-code) | [i] | ||
| 22 | Linear OA(2218, 272, F2, 72) (dual of [272, 54, 73]-code) | [i] | ||
| 23 | Linear OA(2151, 206, F2, 48) (dual of [206, 55, 49]-code) | [i] | ||
| 24 | Linear OA(2109, 211, F2, 30) (dual of [211, 102, 31]-code) | [i] | ||
| 25 | Linear OA(2167, 220, F2, 54) (dual of [220, 53, 55]-code) | [i] | ||
| 26 | Linear OA(2202, 267, F2, 64) (dual of [267, 65, 65]-code) | [i] | ||
| 27 | Linear OA(2208, 265, F2, 68) (dual of [265, 57, 69]-code) | [i] | ||
| 28 | Linear OA(2202, 268, F2, 64) (dual of [268, 66, 65]-code) | [i] | ||