Information on Result #801637
Linear OA(5106, 390671, F5, 15) (dual of [390671, 390565, 16]-code), using construction X applied to Ce(15) ⊂ Ce(8) based on
- 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]
- linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(59, 46, F5, 5) (dual of [46, 37, 6]-code), using
- extracting embedded orthogonal array [i] based on digital (4, 9, 46)-net over F5, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5106, 195335, F5, 2, 15) (dual of [(195335, 2), 390564, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5106, 55810, F5, 15, 15) (dual of [(55810, 15), 837044, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |