Information on Result #2174874
Linear OA(232, 43, F2, 15) (dual of [43, 11, 16]-code), using adding a parity check bit based on linear OA(231, 42, F2, 14) (dual of [42, 11, 15]-code), using
- construction X applied to C2 ⊂ D1 [i] based on
- linear OA(226, 31, F2, 15) (dual of [31, 5, 16]-code), using code C2 for u = 5 by de Boer and Brouwer [i]
- linear OA(220, 31, F2, 10) (dual of [31, 11, 11]-code), using augmented code D1 for u = 5 by de Boer and Brouwer [i]
- linear OA(25, 11, F2, 3) (dual of [11, 6, 4]-code or 11-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
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(2152, 170, F2, 63) (dual of [170, 18, 64]-code) | [i] | Construction X with De Boer–Brouwer Codes | |