Information on Result #736968

Linear OA(3171, 6601, F3, 31) (dual of [6601, 6430, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
  1. linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(3171, 3300, F3, 2, 31) (dual of [(3300, 2), 6429, 32]-NRT-code) [i]OOA Folding
2Linear OOA(3171, 2200, F3, 3, 31) (dual of [(2200, 3), 6429, 32]-NRT-code) [i]
3Linear OOA(3171, 1650, F3, 4, 31) (dual of [(1650, 4), 6429, 32]-NRT-code) [i]
4Linear OOA(3171, 1320, F3, 5, 31) (dual of [(1320, 5), 6429, 32]-NRT-code) [i]