Information on Result #1323452
Linear OA(2237, 582, F2, 51) (dual of [582, 345, 52]-code), using construction X applied to Ce(50) ⊂ Ce(38) 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(2163, 512, F2, 39) (dual of [512, 349, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(229, 70, F2, 11) (dual of [70, 41, 12]-code), using
- adding a parity check bit [i] based on linear OA(228, 69, F2, 10) (dual of [69, 41, 11]-code), using
- a “Gra†code from Grassl’s database [i]
- adding a parity check bit [i] based on linear OA(228, 69, F2, 10) (dual of [69, 41, 11]-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(2236, 581, F2, 50) (dual of [581, 345, 51]-code) | [i] | Truncation | |