Information on Result #737596

Linear OA(5120, 15670, F5, 23) (dual of [15670, 15550, 24]-code), using construction X applied to Ce(22) ⊂ Ce(15) based on
  1. linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(5120, 15670, F5, 2, 23) (dual of [(15670, 2), 31220, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5120, 15670, F5, 3, 23) (dual of [(15670, 3), 46890, 24]-NRT-code) [i]
3Digital (97, 120, 15670)-net over F5 [i]
4Linear OOA(5120, 7835, F5, 2, 23) (dual of [(7835, 2), 15550, 24]-NRT-code) [i]OOA Folding
5Linear OOA(5120, 5223, F5, 3, 23) (dual of [(5223, 3), 15549, 24]-NRT-code) [i]