Information on Result #713343

Linear OA(738, 352, F7, 14) (dual of [352, 314, 15]-code), using construction XX applied to C1 = C([340,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([340,11]) based on
  1. linear OA(734, 342, F7, 13) (dual of [342, 308, 14]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−2,−1,…,10}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(731, 342, F7, 12) (dual of [342, 311, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(737, 342, F7, 14) (dual of [342, 305, 15]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−2,−1,…,11}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  4. linear OA(728, 342, F7, 11) (dual of [342, 314, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
  5. linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
  6. linear OA(70, 3, F7, 0) (dual of [3, 3, 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(738, 349, F7, 2, 14) (dual of [(349, 2), 660, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(738, 349, F7, 3, 14) (dual of [(349, 3), 1009, 15]-NRT-code) [i]
3Digital (24, 38, 349)-net over F7 [i]
4Linear OOA(738, 176, F7, 2, 14) (dual of [(176, 2), 314, 15]-NRT-code) [i]OOA Folding
5Linear OOA(738, 117, F7, 3, 14) (dual of [(117, 3), 313, 15]-NRT-code) [i]