Information on Result #661800
Linear OA(293, 102, F2, 47) (dual of [102, 9, 48]-code), using (u, u+v)-construction based on
- linear OA(243, 51, F2, 23) (dual of [51, 8, 24]-code), using
- concatenation of two codes [i] based on
- linear OA(250, 51, F2, 47) (dual of [51, 1, 48]-code), using
- strength reduction [i] based on linear OA(250, 51, F2, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,2)), using
- dual of repetition code with length 51 [i]
- strength reduction [i] based on linear OA(250, 51, F2, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,2)), 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(2102, 111, F2, 48) (dual of [111, 9, 49]-code) | [i] | Juxtaposition | |
2 | Linear OA(2106, 115, F2, 50) (dual of [115, 9, 51]-code) | [i] | ||
3 | Linear OOA(293, 51, F2, 2, 47) (dual of [(51, 2), 9, 48]-NRT-code) | [i] | OOA Folding | |
4 | Linear OOA(293, 34, F2, 3, 47) (dual of [(34, 3), 9, 48]-NRT-code) | [i] |