Information on Result #610045
Linear OA(2186, 189, F2, 107) (dual of [189, 3, 108]-code), using repeating each code word 27 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [i]
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(2186, 189, F2, 106) (dual of [189, 3, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2186, 189, F2, 105) (dual of [189, 3, 106]-code) | [i] | ||
| 3 | Linear OA(2186, 189, F2, 104) (dual of [189, 3, 105]-code) | [i] | ||
| 4 | Linear OA(2186, 189, F2, 103) (dual of [189, 3, 104]-code) | [i] | ||
| 5 | Linear OA(2186, 189, F2, 102) (dual of [189, 3, 103]-code) | [i] | ||
| 6 | Linear OA(2186, 189, F2, 101) (dual of [189, 3, 102]-code) | [i] | ||
| 7 | Linear OA(2186, 189, F2, 100) (dual of [189, 3, 101]-code) | [i] | ||
| 8 | Linear OA(2187, 190, F2, 107) (dual of [190, 3, 108]-code) | [i] | Code Embedding in Larger Space | |
| 9 | Linear OA(2185, 188, F2, 106) (dual of [188, 3, 107]-code) | [i] | Truncation | |
| 10 | Linear OA(2184, 187, F2, 105) (dual of [187, 3, 106]-code) | [i] | ||
| 11 | Linear OA(2182, 185, F2, 103) (dual of [185, 3, 104]-code) | [i] | ||
| 12 | Linear OA(2181, 184, F2, 102) (dual of [184, 3, 103]-code) | [i] | ||
| 13 | Linear OA(2180, 183, F2, 101) (dual of [183, 3, 102]-code) | [i] | ||
| 14 | Linear OA(2178, 181, F2, 99) (dual of [181, 3, 100]-code) | [i] | ||
| 15 | Linear OA(2177, 180, F2, 98) (dual of [180, 3, 99]-code) | [i] | ||
| 16 | Linear OA(2175, 178, F2, 96) (dual of [178, 3, 97]-code) | [i] | ||
| 17 | Linear OA(2174, 177, F2, 95) (dual of [177, 3, 96]-code) | [i] | ||
| 18 | Linear OA(2173, 176, F2, 94) (dual of [176, 3, 95]-code) | [i] | ||
| 19 | Linear OA(2171, 174, F2, 92) (dual of [174, 3, 93]-code) | [i] | ||
| 20 | Linear OOA(2186, 63, F2, 3, 107) (dual of [(63, 3), 3, 108]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(2186, 27, F2, 7, 107) (dual of [(27, 7), 3, 108]-NRT-code) | [i] | ||