Information on Result #699091

Linear OA(6430, 318, F64, 17) (dual of [318, 288, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
  1. linear OA(6430, 316, F64, 17) (dual of [316, 286, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(6428, 316, F64, 16) (dual of [316, 288, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-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(6430, 159, F64, 2, 17) (dual of [(159, 2), 288, 18]-NRT-code) [i]OOA Folding
2Linear OOA(6430, 106, F64, 3, 17) (dual of [(106, 3), 288, 18]-NRT-code) [i]