Information on Result #713584

Linear OA(755, 348, F7, 21) (dual of [348, 293, 22]-code), using construction XX applied to C1 = C([341,18]), C2 = C([0,19]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([341,19]) based on
  1. linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(755, 342, F7, 21) (dual of [342, 287, 22]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  4. linear OA(749, 342, F7, 19) (dual of [342, 293, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  5. linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
  6. linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-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(756, 353, F7, 21) (dual of [353, 297, 22]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(757, 370, F7, 21) (dual of [370, 313, 22]-code) [i]
3Linear OA(758, 402, F7, 21) (dual of [402, 344, 22]-code) [i]
4Linear OOA(755, 174, F7, 2, 21) (dual of [(174, 2), 293, 22]-NRT-code) [i]OOA Folding
5Linear OOA(755, 116, F7, 3, 21) (dual of [(116, 3), 293, 22]-NRT-code) [i]