Information on Result #737555

Linear OA(5103, 15655, F5, 21) (dual of [15655, 15552, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
  1. linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(56, 30, F5, 4) (dual of [30, 24, 5]-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 OA(5104, 15656, F5, 21) (dual of [15656, 15552, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(5106, 15660, F5, 21) (dual of [15660, 15554, 22]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OA(5107, 15662, F5, 21) (dual of [15662, 15555, 22]-code) [i]
4Linear OOA(5103, 7827, F5, 2, 21) (dual of [(7827, 2), 15551, 22]-NRT-code) [i]OOA Folding
5Linear OOA(5103, 5218, F5, 3, 21) (dual of [(5218, 3), 15551, 22]-NRT-code) [i]