Information on Result #736895

Linear OA(3226, 59114, F3, 32) (dual of [59114, 58888, 33]-code), using construction X applied to Ce(31) ⊂ Ce(24) based on
  1. linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(315, 65, F3, 6) (dual of [65, 50, 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 OA(3228, 59116, F3, 32) (dual of [59116, 58888, 33]-code) [i]Code Embedding in Larger Space
2Linear OA(3229, 59117, F3, 32) (dual of [59117, 58888, 33]-code) [i]
3Linear OA(3230, 59118, F3, 32) (dual of [59118, 58888, 33]-code) [i]
4Linear OA(3231, 59119, F3, 32) (dual of [59119, 58888, 33]-code) [i]
5Linear OA(3231, 59120, F3, 32) (dual of [59120, 58889, 33]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(3226, 29557, F3, 2, 32) (dual of [(29557, 2), 58888, 33]-NRT-code) [i]OOA Folding
7Linear OOA(3226, 19704, F3, 3, 32) (dual of [(19704, 3), 58886, 33]-NRT-code) [i]
8Linear OOA(3226, 14778, F3, 4, 32) (dual of [(14778, 4), 58886, 33]-NRT-code) [i]
9Linear OOA(3226, 11822, F3, 5, 32) (dual of [(11822, 5), 58884, 33]-NRT-code) [i]
10Linear OOA(3226, 3694, F3, 32, 32) (dual of [(3694, 32), 117982, 33]-NRT-code) [i]OA Folding and Stacking