Information on Result #682301

Linear OA(5124, 390652, F5, 19) (dual of [390652, 390528, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
  1. linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(53, 27, F5, 2) (dual of [27, 24, 3]-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(5125, 390653, F5, 19) (dual of [390653, 390528, 20]-code) [i]Code Embedding in Larger Space
2Linear OOA(5124, 204698, F5, 2, 19) (dual of [(204698, 2), 409272, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(5124, 204698, F5, 3, 19) (dual of [(204698, 3), 613970, 20]-NRT-code) [i]
4Digital (105, 124, 204698)-net over F5 [i]
5Linear OOA(5124, 195326, F5, 2, 19) (dual of [(195326, 2), 390528, 20]-NRT-code) [i]OOA Folding
6Linear OOA(5124, 130217, F5, 3, 19) (dual of [(130217, 3), 390527, 20]-NRT-code) [i]
7Linear OOA(5124, 43405, F5, 19, 19) (dual of [(43405, 19), 824571, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row