Information on Result #703279

Linear OA(377, 268, F3, 22) (dual of [268, 191, 23]-code), using construction XX applied to C1 = C([239,15]), C2 = C([0,18]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([239,18]) based on
  1. 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]
  2. linear OA(361, 242, F3, 19) (dual of [242, 181, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(371, 242, F3, 22) (dual of [242, 171, 23]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,18}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  4. 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]
  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(378, 269, F3, 22) (dual of [269, 191, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(378, 270, F3, 22) (dual of [270, 192, 23]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OOA(377, 134, F3, 2, 22) (dual of [(134, 2), 191, 23]-NRT-code) [i]OOA Folding
4Linear OOA(377, 89, F3, 3, 22) (dual of [(89, 3), 190, 23]-NRT-code) [i]