Information on Result #1323319
Linear OA(2203, 269, F2, 64) (dual of [269, 66, 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, 258, F2, 57) (dual of [258, 66, 58]-code), using Gilbert–Varšamov bound and bm = 2192 > Vbs−1(k−1) = 2697 514434 518177 723957 785077 288130 525987 462231 294145 106898 [i]
- linear OA(29, 11, F2, 6) (dual of [11, 2, 7]-code), using
- 1 times truncation [i] based on linear OA(210, 12, F2, 7) (dual of [12, 2, 8]-code), using
- repeating each code word 4 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- repeating each code word 4 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- 1 times truncation [i] based on linear OA(210, 12, F2, 7) (dual of [12, 2, 8]-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(2204, 270, F2, 65) (dual of [270, 66, 66]-code) | [i] | Adding a Parity Check Bit | |