Information on Result #674953

Linear OA(3149, 59090, F3, 21) (dual of [59090, 58941, 22]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
  1. linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. 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]
  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(3149, 29545, F3, 2, 21) (dual of [(29545, 2), 58941, 22]-NRT-code) [i]OOA Folding
2Linear OOA(3149, 19696, F3, 3, 21) (dual of [(19696, 3), 58939, 22]-NRT-code) [i]
3Linear OOA(3149, 14772, F3, 4, 21) (dual of [(14772, 4), 58939, 22]-NRT-code) [i]
4Linear OOA(3149, 11818, F3, 5, 21) (dual of [(11818, 5), 58941, 22]-NRT-code) [i]