Information on Result #682555

Linear OA(590, 78152, F5, 16) (dual of [78152, 78062, 17]-code), using construction XX applied to Ce(15) ⊂ Ce(11) ⊂ Ce(10) 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(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  4. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
  5. linear OA(50, 1, F5, 0) (dual of [1, 1, 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(590, 41952, F5, 2, 16) (dual of [(41952, 2), 83814, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(590, 41952, F5, 3, 16) (dual of [(41952, 3), 125766, 17]-NRT-code) [i]
3Digital (74, 90, 41952)-net over F5 [i]
4Linear OOA(590, 39076, F5, 2, 16) (dual of [(39076, 2), 78062, 17]-NRT-code) [i]OOA Folding
5Linear OOA(590, 9769, F5, 16, 16) (dual of [(9769, 16), 156214, 17]-NRT-code) [i]OA Folding and Stacking