Information on Result #610035
Linear OA(2221, 224, F2, 127) (dual of [224, 3, 128]-code), using repeating each code word 32 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(2221, 224, F2, 126) (dual of [224, 3, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2221, 224, F2, 125) (dual of [224, 3, 126]-code) | [i] | ||
| 3 | Linear OA(2221, 224, F2, 124) (dual of [224, 3, 125]-code) | [i] | ||
| 4 | Linear OA(2221, 224, F2, 123) (dual of [224, 3, 124]-code) | [i] | ||
| 5 | Linear OA(2221, 224, F2, 122) (dual of [224, 3, 123]-code) | [i] | ||
| 6 | Linear OA(2221, 224, F2, 121) (dual of [224, 3, 122]-code) | [i] | ||
| 7 | Linear OA(2221, 224, F2, 120) (dual of [224, 3, 121]-code) | [i] | ||
| 8 | Linear OA(2222, 225, F2, 127) (dual of [225, 3, 128]-code) | [i] | Code Embedding in Larger Space | |
| 9 | Linear OA(2220, 223, F2, 126) (dual of [223, 3, 127]-code) | [i] | Truncation | |
| 10 | Linear OA(2219, 222, F2, 125) (dual of [222, 3, 126]-code) | [i] | ||
| 11 | Linear OA(2217, 220, F2, 123) (dual of [220, 3, 124]-code) | [i] | ||
| 12 | Linear OA(2216, 219, F2, 122) (dual of [219, 3, 123]-code) | [i] | ||
| 13 | Linear OA(2215, 218, F2, 121) (dual of [218, 3, 122]-code) | [i] | ||
| 14 | Linear OA(2213, 216, F2, 119) (dual of [216, 3, 120]-code) | [i] | ||
| 15 | Linear OA(2212, 215, F2, 118) (dual of [215, 3, 119]-code) | [i] | ||
| 16 | Linear OA(2210, 213, F2, 116) (dual of [213, 3, 117]-code) | [i] | ||
| 17 | Linear OA(2209, 212, F2, 115) (dual of [212, 3, 116]-code) | [i] | ||
| 18 | Linear OA(2208, 211, F2, 114) (dual of [211, 3, 115]-code) | [i] | ||
| 19 | Linear OA(2206, 209, F2, 112) (dual of [209, 3, 113]-code) | [i] | ||
| 20 | Linear OA(2205, 208, F2, 111) (dual of [208, 3, 112]-code) | [i] | ||
| 21 | Linear OOA(2221, 112, F2, 2, 127) (dual of [(112, 2), 3, 128]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(2221, 32, F2, 7, 127) (dual of [(32, 7), 3, 128]-NRT-code) | [i] | ||