Information on Result #610067
Linear OA(2109, 112, F2, 63) (dual of [112, 3, 64]-code), using repeating each code word 16 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(2109, 112, F2, 62) (dual of [112, 3, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2109, 112, F2, 61) (dual of [112, 3, 62]-code) | [i] | ||
| 3 | Linear OA(2109, 112, F2, 60) (dual of [112, 3, 61]-code) | [i] | ||
| 4 | Linear OA(2110, 113, F2, 63) (dual of [113, 3, 64]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2108, 111, F2, 62) (dual of [111, 3, 63]-code) | [i] | Truncation | |
| 6 | Linear OA(2107, 110, F2, 61) (dual of [110, 3, 62]-code) | [i] | ||
| 7 | Linear OA(2105, 108, F2, 59) (dual of [108, 3, 60]-code) | [i] | ||
| 8 | Linear OA(2104, 107, F2, 58) (dual of [107, 3, 59]-code) | [i] | ||
| 9 | Linear OA(2103, 106, F2, 57) (dual of [106, 3, 58]-code) | [i] | ||
| 10 | Linear OOA(2109, 56, F2, 2, 63) (dual of [(56, 2), 3, 64]-NRT-code) | [i] | OOA Folding | |