Information on Result #610022
Linear OA(210, 12, F2, 7) (dual of [12, 2, 8]-code), using repeating each code word 4 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(29, 11, F2, 6) (dual of [11, 2, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(2257, 268, F2, 127) (dual of [268, 11, 128]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 3 | Linear OA(2253, 268, F2, 119) (dual of [268, 15, 120]-code) | [i] | ||
| 4 | Linear OA(2260, 275, F2, 121) (dual of [275, 15, 122]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(2144, 161, F2, 63) (dual of [161, 17, 64]-code) | [i] | ||
| 6 | Linear OA(2141, 158, F2, 61) (dual of [158, 17, 62]-code) | [i] | ||
| 7 | Linear OA(258, 75, F2, 23) (dual of [75, 17, 24]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 8 | Linear OA(2130, 139, F2, 63) (dual of [139, 9, 64]-code) | [i] | ||
| 9 | Linear OA(2123, 139, F2, 55) (dual of [139, 16, 56]-code) | [i] | ||
| 10 | Linear OA(2122, 139, F2, 54) (dual of [139, 17, 55]-code) | [i] | ||
| 11 | Linear OA(2253, 267, F2, 119) (dual of [267, 14, 120]-code) | [i] | ||
| 12 | Linear OA(2245, 267, F2, 103) (dual of [267, 22, 104]-code) | [i] | ||
| 13 | Linear OA(2144, 160, F2, 63) (dual of [160, 16, 64]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 14 | Linear OA(2141, 157, F2, 61) (dual of [157, 16, 62]-code) | [i] | ||
| 15 | Linear OA(2137, 153, F2, 59) (dual of [153, 16, 60]-code) | [i] | ||
| 16 | Linear OA(2133, 149, F2, 57) (dual of [149, 16, 58]-code) | [i] | ||
| 17 | Linear OA(2136, 153, F2, 58) (dual of [153, 17, 59]-code) | [i] | ||
| 18 | Linear OA(2132, 149, F2, 56) (dual of [149, 17, 57]-code) | [i] | ||
| 19 | Linear OA(2144, 161, F2, 62) (dual of [161, 17, 63]-code) | [i] | ||
| 20 | Linear OOA(210, 6, F2, 2, 7) (dual of [(6, 2), 2, 8]-NRT-code) | [i] | OOA Folding | |