Information on Result #737592

Linear OA(5150, 15670, F5, 29) (dual of [15670, 15520, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(5139, 15625, F5, 29) (dual of [15625, 15486, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(5150, 7835, F5, 2, 29) (dual of [(7835, 2), 15520, 30]-NRT-code) [i]OOA Folding
2Linear OOA(5150, 5223, F5, 3, 29) (dual of [(5223, 3), 15519, 30]-NRT-code) [i]
3Linear OOA(5150, 1119, F5, 29, 29) (dual of [(1119, 29), 32301, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row