Information on Result #674956

Linear OA(3109, 59090, F3, 15) (dual of [59090, 58981, 16]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
  1. linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
    • the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]

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(3109, 29545, F3, 2, 15) (dual of [(29545, 2), 58981, 16]-NRT-code) [i]OOA Folding
2Linear OOA(3109, 19696, F3, 3, 15) (dual of [(19696, 3), 58979, 16]-NRT-code) [i]
3Linear OOA(3109, 14772, F3, 4, 15) (dual of [(14772, 4), 58979, 16]-NRT-code) [i]
4Linear OOA(3109, 11818, F3, 5, 15) (dual of [(11818, 5), 58981, 16]-NRT-code) [i]
5Linear OOA(3109, 8441, F3, 15, 15) (dual of [(8441, 15), 126506, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row