Information on Result #730454

Linear OA(12820, 385, F128, 12) (dual of [385, 365, 13]-code), using construction XX applied to C1 = C([380,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([380,10]) based on
  1. linear OA(12818, 381, F128, 11) (dual of [381, 363, 12]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(12818, 381, F128, 11) (dual of [381, 363, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(12820, 381, F128, 12) (dual of [381, 361, 13]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  4. linear OA(12816, 381, F128, 10) (dual of [381, 365, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(1280, 2, F128, 0) (dual of [2, 2, 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(12869, 16771, F128, 25) (dual of [16771, 16702, 26]-code) [i](u, u+v)-Construction
2Linear OA(12870, 16775, F128, 25) (dual of [16775, 16705, 26]-code) [i]
3Linear OA(12867, 16771, F128, 24) (dual of [16771, 16704, 25]-code) [i]
4Linear OA(12868, 16774, F128, 24) (dual of [16774, 16706, 25]-code) [i]
5Linear OA(12869, 16777, F128, 24) (dual of [16777, 16708, 25]-code) [i]
6Linear OA(12821, 427, F128, 12) (dual of [427, 406, 13]-code) [i]VarÅ¡amov–Edel Lengthening