Information on Result #675052

Linear OA(3189, 19725, F3, 30) (dual of [19725, 19536, 31]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
  1. linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [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(3189, 9862, F3, 2, 30) (dual of [(9862, 2), 19535, 31]-NRT-code) [i]OOA Folding
2Linear OOA(3189, 6575, F3, 3, 30) (dual of [(6575, 3), 19536, 31]-NRT-code) [i]
3Linear OOA(3189, 4931, F3, 4, 30) (dual of [(4931, 4), 19535, 31]-NRT-code) [i]
4Linear OOA(3189, 3945, F3, 5, 30) (dual of [(3945, 5), 19536, 31]-NRT-code) [i]