Information on Result #736974

Linear OA(3107, 6601, F3, 19) (dual of [6601, 6494, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
  1. linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(365, 6562, F3, 13) (dual of [6562, 6497, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  3. linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-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 OOA(3107, 3300, F3, 2, 19) (dual of [(3300, 2), 6493, 20]-NRT-code) [i]OOA Folding
2Linear OOA(3107, 2200, F3, 3, 19) (dual of [(2200, 3), 6493, 20]-NRT-code) [i]
3Linear OOA(3107, 1650, F3, 4, 19) (dual of [(1650, 4), 6493, 20]-NRT-code) [i]
4Linear OOA(3107, 1320, F3, 5, 19) (dual of [(1320, 5), 6493, 20]-NRT-code) [i]