Information on Result #682307

Linear OA(5101, 390651, F5, 16) (dual of [390651, 390550, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) 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(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(5101, 195325, F5, 2, 16) (dual of [(195325, 2), 390549, 17]-NRT-code) [i]OOA Folding
2Linear OOA(5101, 130217, F5, 3, 16) (dual of [(130217, 3), 390550, 17]-NRT-code) [i]
3Linear OOA(5101, 48831, F5, 16, 16) (dual of [(48831, 16), 781195, 17]-NRT-code) [i]OA Folding and Stacking