Information on Result #737511

Linear OA(598, 78155, F5, 17) (dual of [78155, 78057, 18]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
  1. linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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 OOA(598, 53165, F5, 2, 17) (dual of [(53165, 2), 106232, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(598, 53165, F5, 3, 17) (dual of [(53165, 3), 159397, 18]-NRT-code) [i]
3Digital (81, 98, 53165)-net over F5 [i]
4Linear OOA(598, 39077, F5, 2, 17) (dual of [(39077, 2), 78056, 18]-NRT-code) [i]OOA Folding
5Linear OOA(598, 26051, F5, 3, 17) (dual of [(26051, 3), 78055, 18]-NRT-code) [i]
6Linear OOA(598, 9769, F5, 17, 17) (dual of [(9769, 17), 165975, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row