Information on Result #736959

Linear OA(3150, 19736, F3, 23) (dual of [19736, 19586, 24]-code), using construction X applied to Ce(22) ⊂ Ce(15) based on
  1. linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(314, 53, F3, 6) (dual of [53, 39, 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(3150, 9868, F3, 2, 23) (dual of [(9868, 2), 19586, 24]-NRT-code) [i]OOA Folding
2Linear OOA(3150, 6578, F3, 3, 23) (dual of [(6578, 3), 19584, 24]-NRT-code) [i]
3Linear OOA(3150, 4934, F3, 4, 23) (dual of [(4934, 4), 19586, 24]-NRT-code) [i]
4Linear OOA(3150, 3947, F3, 5, 23) (dual of [(3947, 5), 19585, 24]-NRT-code) [i]
5Linear OOA(3150, 1794, F3, 23, 23) (dual of [(1794, 23), 41112, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row