Information on Result #703699

Linear OA(3229, 260, F3, 128) (dual of [260, 31, 129]-code), using construction XX applied to C1 = C([239,121]), C2 = C([1,124]), C3 = C1 + C2 = C([1,121]), 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(3216, 242, F3, 124) (dual of [242, 26, 125]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,124], and designed minimum distance d ≥ |I|+1 = 125 [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(3211, 242, F3, 121) (dual of [242, 31, 122]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
  5. linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
  6. linear OA(33, 8, F3, 2) (dual of [8, 5, 3]-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 OA(3228, 259, F3, 127) (dual of [259, 31, 128]-code) [i]Truncation
2Linear OOA(3229, 130, F3, 2, 128) (dual of [(130, 2), 31, 129]-NRT-code) [i]OOA Folding
3Linear OOA(3229, 52, F3, 5, 128) (dual of [(52, 5), 31, 129]-NRT-code) [i]