Information on Result #675229

Linear OA(3135, 19724, F3, 21) (dual of [19724, 19589, 22]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
  1. linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(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(3135, 9862, F3, 2, 21) (dual of [(9862, 2), 19589, 22]-NRT-code) [i]OOA Folding
2Linear OOA(3135, 6574, F3, 3, 21) (dual of [(6574, 3), 19587, 22]-NRT-code) [i]
3Linear OOA(3135, 4931, F3, 4, 21) (dual of [(4931, 4), 19589, 22]-NRT-code) [i]
4Linear OOA(3135, 3944, F3, 5, 21) (dual of [(3944, 5), 19585, 22]-NRT-code) [i]
5Linear OOA(3135, 1972, F3, 21, 21) (dual of [(1972, 21), 41277, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row