Information on Result #629635
Linear OA(2166, 175, F2, 83) (dual of [175, 9, 84]-code), using concatenation of two codes based on
- linear OA(822, 25, F8, 20) (dual of [25, 3, 21]-code), using
- 3 times truncation [i] based on linear OA(825, 28, F8, 23) (dual of [28, 3, 24]-code), using
- Denniston code D(2,8) [i]
- 3 times truncation [i] based on linear OA(825, 28, F8, 23) (dual of [28, 3, 24]-code), using
- 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(2166, 175, F2, 82) (dual of [175, 9, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2167, 176, F2, 83) (dual of [176, 9, 84]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2165, 174, F2, 82) (dual of [174, 9, 83]-code) | [i] | Truncation | |
| 4 | Linear OA(2164, 173, F2, 81) (dual of [173, 9, 82]-code) | [i] | ||
| 5 | Linear OA(283, 91, F2, 41) (dual of [91, 8, 42]-code) | [i] | Residual Code | |
| 6 | Linear OOA(2166, 35, F2, 5, 83) (dual of [(35, 5), 9, 84]-NRT-code) | [i] | OOA Folding | |