Information on Result #703270

Linear OA(367, 253, F3, 20) (dual of [253, 186, 21]-code), using construction XX applied to C1 = C([103,121]), C2 = C([105,122]), C3 = C1 + C2 = C([105,121]), and C∩ = C1 ∩ C2 = C([103,122]) 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 = {103,104,…,121}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(361, 242, F3, 18) (dual of [242, 181, 19]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {105,106,…,122}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(366, 242, F3, 20) (dual of [242, 176, 21]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {103,104,…,122}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  4. linear OA(356, 242, F3, 17) (dual of [242, 186, 18]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {105,106,…,121}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  5. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
  6. linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-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(371, 266, F3, 20) (dual of [266, 195, 21]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(372, 274, F3, 20) (dual of [274, 202, 21]-code) [i]
3Linear OA(373, 285, F3, 20) (dual of [285, 212, 21]-code) [i]
4Linear OOA(367, 126, F3, 2, 20) (dual of [(126, 2), 185, 21]-NRT-code) [i]OOA Folding
5Linear OOA(367, 84, F3, 3, 20) (dual of [(84, 3), 185, 21]-NRT-code) [i]