Information on Result #629637
Linear OA(2173, 182, F2, 87) (dual of [182, 9, 88]-code), using concatenation of two codes based on
- linear OA(823, 26, F8, 21) (dual of [26, 3, 22]-code), using
- 2 times truncation [i] based on linear OA(825, 28, F8, 23) (dual of [28, 3, 24]-code), using
- Denniston code D(2,8) [i]
- 2 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(2173, 182, F2, 86) (dual of [182, 9, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2170, 179, F2, 84) (dual of [179, 9, 85]-code) | [i] | Truncation | |
| 3 | Linear OA(286, 94, F2, 43) (dual of [94, 8, 44]-code) | [i] | Residual Code | |
| 4 | Linear OOA(2173, 91, F2, 2, 87) (dual of [(91, 2), 9, 88]-NRT-code) | [i] | OOA Folding | |