Information on Result #1323451

Linear OA(2232, 567, F2, 51) (dual of [567, 335, 52]-code), using construction X applied to Ce(50) ⊂ Ce(40) based on
  1. 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]
  2. linear OA(2172, 512, F2, 41) (dual of [512, 340, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(224, 55, F2, 9) (dual of [55, 31, 10]-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:

ResultThis
result
only
Method
1Linear OA(2231, 566, F2, 50) (dual of [566, 335, 51]-code) [i]Truncation