Information on Result #692484

Linear OA(16111, 593, F16, 42) (dual of [593, 482, 43]-code), using construction X applied to Ce(41) ⊂ Ce(39) based on
  1. linear OA(16110, 586, F16, 42) (dual of [586, 476, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(16104, 586, F16, 40) (dual of [586, 482, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using

Mode: Constructive and 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 OOA(16111, 296, F16, 2, 42) (dual of [(296, 2), 481, 43]-NRT-code) [i]OOA Folding