Information on Result #703715

Linear OA(3224, 254, F3, 126) (dual of [254, 30, 127]-code), using construction XX applied to C1 = C([239,121]), C2 = C([0,124]), C3 = C1 + C2 = C([0,121]), and C∩ = C1 ∩ C2 = C([239,124]) based on
  1. linear OA(3217, 242, F3, 125) (dual of [242, 25, 126]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,121}, and designed minimum distance d ≥ |I|+1 = 126 [i]
  2. linear OA(3217, 242, F3, 125) (dual of [242, 25, 126]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,124], and designed minimum distance d ≥ |I|+1 = 126 [i]
  3. linear OA(3222, 242, F3, 128) (dual of [242, 20, 129]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,124}, and designed minimum distance d ≥ |I|+1 = 129 [i]
  4. linear OA(3212, 242, F3, 122) (dual of [242, 30, 123]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,121], and designed minimum distance d ≥ |I|+1 = 123 [i]
  5. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
  6. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-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(3250, 283, F3, 126) (dual of [283, 33, 127]-code) [i]Construction X with VarÅ¡amov Bound
2Linear OOA(3224, 127, F3, 2, 126) (dual of [(127, 2), 30, 127]-NRT-code) [i]OOA Folding
3Linear OOA(3224, 84, F3, 3, 126) (dual of [(84, 3), 28, 127]-NRT-code) [i]
4Linear OOA(3224, 50, F3, 5, 126) (dual of [(50, 5), 26, 127]-NRT-code) [i]