Information on Result #1323320
Linear OA(2205, 272, F2, 64) (dual of [272, 67, 65]-code), using construction X with Varšamov bound based on
- linear OA(2192, 256, F2, 64) (dual of [256, 64, 65]-code), using
- linear OA(2192, 259, F2, 57) (dual of [259, 67, 58]-code), using Gilbert–Varšamov bound and bm = 2192 > Vbs−1(k−1) = 3439 002392 685953 747134 150559 262366 800292 843395 352223 898756 [i]
- linear OA(210, 13, F2, 6) (dual of [13, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(210, 15, F2, 6) (dual of [15, 5, 7]-code), using
- 1 times truncation [i] based on linear OA(211, 16, F2, 7) (dual of [16, 5, 8]-code), using
- Reed–Muller code RM(2,4) [i]
- 1 times truncation [i] based on linear OA(211, 16, F2, 7) (dual of [16, 5, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(210, 15, F2, 6) (dual of [15, 5, 7]-code), using
Mode: 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2206, 273, F2, 65) (dual of [273, 67, 66]-code) | [i] | Adding a Parity Check Bit | |