Information on Result #736874

Linear OA(3203, 177217, F3, 26) (dual of [177217, 177014, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3133, 177147, F3, 19) (dual of [177147, 177014, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(315, 70, F3, 6) (dual of [70, 55, 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(3203, 88608, F3, 2, 26) (dual of [(88608, 2), 177013, 27]-NRT-code) [i]OOA Folding
2Linear OOA(3203, 59072, F3, 3, 26) (dual of [(59072, 3), 177013, 27]-NRT-code) [i]
3Linear OOA(3203, 44304, F3, 4, 26) (dual of [(44304, 4), 177013, 27]-NRT-code) [i]
4Linear OOA(3203, 35443, F3, 5, 26) (dual of [(35443, 5), 177012, 27]-NRT-code) [i]
5Linear OOA(3203, 13632, F3, 26, 26) (dual of [(13632, 26), 354229, 27]-NRT-code) [i]OA Folding and Stacking