Information on Result #737489

Linear OA(5108, 390670, F5, 16) (dual of [390670, 390562, 17]-code), using construction X applied to Ce(15) ⊂ Ce(8) based on
  1. linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-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(5108, 195335, F5, 2, 16) (dual of [(195335, 2), 390562, 17]-NRT-code) [i]OOA Folding
2Linear OOA(5108, 130223, F5, 3, 16) (dual of [(130223, 3), 390561, 17]-NRT-code) [i]