Information on Result #703232

Linear OA(367, 268, F3, 19) (dual of [268, 201, 20]-code), using construction XX applied to C1 = C([239,12]), C2 = C([0,15]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([239,15]) based on
  1. linear OA(351, 242, F3, 16) (dual of [242, 191, 17]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,12}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(351, 242, F3, 16) (dual of [242, 191, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(361, 242, F3, 19) (dual of [242, 181, 20]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,15}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(341, 242, F3, 13) (dual of [242, 201, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(368, 269, F3, 19) (dual of [269, 201, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(368, 271, F3, 19) (dual of [271, 203, 20]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(368, 270, F3, 19) (dual of [270, 202, 20]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OOA(367, 134, F3, 2, 19) (dual of [(134, 2), 201, 20]-NRT-code) [i]OOA Folding
5Linear OOA(367, 89, F3, 3, 19) (dual of [(89, 3), 200, 20]-NRT-code) [i]