Information on Result #2175033
Linear OA(2140, 148, F2, 71) (dual of [148, 8, 72]-code), using adding a parity check bit based on linear OA(2139, 147, F2, 70) (dual of [147, 8, 71]-code), using
- juxtaposition [i] based on
- linear OA(211, 19, F2, 6) (dual of [19, 8, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(211, 23, F2, 6) (dual of [23, 12, 7]-code), using
- Golay code G(2) [i]
- discarding factors / shortening the dual code based on linear OA(211, 23, F2, 6) (dual of [23, 12, 7]-code), using
- linear OA(2120, 128, F2, 63) (dual of [128, 8, 64]-code), using
- Reed–Muller code RM(5,7) [i]
- linear OA(211, 19, F2, 6) (dual of [19, 8, 7]-code), 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(2138, 146, F2, 69) (dual of [146, 8, 70]-code) | [i] | Truncation | |
| 2 | Linear OOA(2140, 74, F2, 2, 71) (dual of [(74, 2), 8, 72]-NRT-code) | [i] | OOA Folding | |