Information on Result #1323844
Linear OA(2230, 563, F2, 50) (dual of [563, 333, 51]-code), using 2 step Varšamov–Edel lengthening with (ri) = (4, 2) based on linear OA(2224, 555, F2, 50) (dual of [555, 331, 51]-code), using
- 1 times truncation [i] based on linear OA(2225, 556, F2, 51) (dual of [556, 331, 52]-code), using
- construction X applied to Ce(50) ⊂ Ce(42) [i] based on
- linear OA(2208, 512, F2, 51) (dual of [512, 304, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2181, 512, F2, 43) (dual of [512, 331, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(217, 44, F2, 7) (dual of [44, 27, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 48, F2, 7) (dual of [48, 31, 8]-code), using
- a “RR†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(217, 48, F2, 7) (dual of [48, 31, 8]-code), using
- construction X applied to Ce(50) ⊂ Ce(42) [i] based on
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(2231, 564, F2, 51) (dual of [564, 333, 52]-code) | [i] | Adding a Parity Check Bit | |