Information on Result #703149

Linear OA(347, 268, F3, 13) (dual of [268, 221, 14]-code), using construction XX applied to C1 = C([239,6]), C2 = C([0,9]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([239,9]) based on
  1. linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,6}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(341, 242, F3, 13) (dual of [242, 201, 14]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,9}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  4. linear OA(321, 242, F3, 7) (dual of [242, 221, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
  5. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
  6. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code) (see above)

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 OA(348, 269, F3, 13) (dual of [269, 221, 14]-code) [i]Code Embedding in Larger Space
2Linear OA(348, 270, F3, 13) (dual of [270, 222, 14]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OOA(347, 134, F3, 2, 13) (dual of [(134, 2), 221, 14]-NRT-code) [i]OOA Folding
4Linear OOA(347, 89, F3, 3, 13) (dual of [(89, 3), 220, 14]-NRT-code) [i]