Information on Result #703271

Linear OA(374, 260, F3, 21) (dual of [260, 186, 22]-code), using construction XX applied to C1 = C([102,121]), C2 = C([105,122]), C3 = C1 + C2 = C([105,121]), and C∩ = C1 ∩ C2 = C([102,122]) based on
  1. 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 = {102,103,…,121}, and designed minimum distance d ≥ |I|+1 = 21 [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(371, 242, F3, 21) (dual of [242, 171, 22]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,122}, and designed minimum distance d ≥ |I|+1 = 22 [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(33, 13, F3, 2) (dual of [13, 10, 3]-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 OOA(374, 255, F3, 2, 21) (dual of [(255, 2), 436, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(374, 255, F3, 3, 21) (dual of [(255, 3), 691, 22]-NRT-code) [i]
3Linear OOA(374, 255, F3, 4, 21) (dual of [(255, 4), 946, 22]-NRT-code) [i]
4Linear OOA(374, 255, F3, 5, 21) (dual of [(255, 5), 1201, 22]-NRT-code) [i]
5Digital (53, 74, 255)-net over F3 [i]
6Linear OOA(374, 130, F3, 2, 21) (dual of [(130, 2), 186, 22]-NRT-code) [i]OOA Folding