Information on Result #604132
Linear OA(27, 8, F2, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,2)), using dual of repetition code with length 8
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(27, 8, F2, 6) (dual of [8, 1, 7]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2134, 143, F2, 64) (dual of [143, 9, 65]-code) | [i] | Construction XX with Cyclic Codes | |
| 3 | Linear OA(2254, 264, F2, 127) (dual of [264, 10, 128]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(2250, 264, F2, 119) (dual of [264, 14, 120]-code) | [i] | ||
| 5 | Linear OA(2127, 136, F2, 63) (dual of [136, 9, 64]-code) | [i] | ||
| 6 | Linear OA(2260, 274, F2, 123) (dual of [274, 14, 124]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(2256, 270, F2, 121) (dual of [270, 14, 122]-code) | [i] | ||
| 8 | Linear OA(2140, 156, F2, 63) (dual of [156, 16, 64]-code) | [i] | ||
| 9 | Linear OA(2137, 153, F2, 61) (dual of [153, 16, 62]-code) | [i] | ||
| 10 | Linear OA(220, 72, F2, 7) (dual of [72, 52, 8]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(214, 72, F2, 5) (dual of [72, 58, 6]-code) | [i] | ||
| 12 | Linear OA(2119, 135, F2, 54) (dual of [135, 16, 55]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 13 | Linear OA(2140, 155, F2, 63) (dual of [155, 15, 64]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 14 | Linear OA(2137, 152, F2, 61) (dual of [152, 15, 62]-code) | [i] | ||
| 15 | Linear OA(2133, 148, F2, 59) (dual of [148, 15, 60]-code) | [i] | ||
| 16 | Linear OA(2129, 144, F2, 57) (dual of [144, 15, 58]-code) | [i] | ||
| 17 | Linear OA(2132, 148, F2, 58) (dual of [148, 16, 59]-code) | [i] | ||
| 18 | Linear OA(2128, 144, F2, 56) (dual of [144, 16, 57]-code) | [i] | ||
| 19 | Linear OA(2140, 156, F2, 62) (dual of [156, 16, 63]-code) | [i] | ||
| 20 | Linear OA(2137, 153, F2, 60) (dual of [153, 16, 61]-code) | [i] | ||
| 21 | Linear OA(2260, 273, F2, 121) (dual of [273, 13, 122]-code) | [i] | ||
| 22 | Linear OA(2102, 132, F2, 38) (dual of [132, 30, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 23 | Linear OA(2140, 170, F2, 52) (dual of [170, 30, 53]-code) | [i] | ||
| 24 | Linear OA(2259, 312, F2, 90) (dual of [312, 53, 91]-code) | [i] | ||