Information on Result #682185

Linear OA(595, 1953151, F5, 13) (dual of [1953151, 1953056, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
  1. linear OA(591, 1953125, F5, 13) (dual of [1953125, 1953034, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(595, 1153368, F5, 2, 13) (dual of [(1153368, 2), 2306641, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(595, 1153368, F5, 3, 13) (dual of [(1153368, 3), 3460009, 14]-NRT-code) [i]
3Digital (82, 95, 1153368)-net over F5 [i]
4Linear OOA(595, 976575, F5, 2, 13) (dual of [(976575, 2), 1953055, 14]-NRT-code) [i]OOA Folding
5Linear OOA(595, 651050, F5, 3, 13) (dual of [(651050, 3), 1953055, 14]-NRT-code) [i]
6Linear OOA(595, 325525, F5, 13, 13) (dual of [(325525, 13), 4231730, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row