Information on Result #682485

Linear OA(589, 78150, F5, 16) (dual of [78150, 78061, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
  1. linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-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 OA(588, 78149, F5, 15) (dual of [78149, 78061, 16]-code) [i]Truncation
2Linear OOA(589, 39075, F5, 2, 16) (dual of [(39075, 2), 78061, 17]-NRT-code) [i]OOA Folding
3Linear OOA(589, 26050, F5, 3, 16) (dual of [(26050, 3), 78061, 17]-NRT-code) [i]
4Linear OOA(589, 9768, F5, 16, 16) (dual of [(9768, 16), 156199, 17]-NRT-code) [i]OA Folding and Stacking