Information on Result #709671

Linear OA(4257, 1054, F4, 70) (dual of [1054, 797, 71]-code), using construction XX applied to C1 = C([273,341]), C2 = C([281,342]), C3 = C1 + C2 = C([281,341]), and C∩ = C1 ∩ C2 = C([273,342]) based on
  1. linear OA(4241, 1023, F4, 69) (dual of [1023, 782, 70]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,341}, and designed minimum distance d ≥ |I|+1 = 70 [i]
  2. linear OA(4231, 1023, F4, 62) (dual of [1023, 792, 63]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {281,282,…,342}, and designed minimum distance d ≥ |I|+1 = 63 [i]
  3. linear OA(4246, 1023, F4, 70) (dual of [1023, 777, 71]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,342}, and designed minimum distance d ≥ |I|+1 = 71 [i]
  4. linear OA(4226, 1023, F4, 61) (dual of [1023, 797, 62]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {281,282,…,341}, and designed minimum distance d ≥ |I|+1 = 62 [i]
  5. linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
  6. linear OA(40, 5, F4, 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(4257, 527, F4, 2, 70) (dual of [(527, 2), 797, 71]-NRT-code) [i]OOA Folding
2Linear OOA(4257, 351, F4, 3, 70) (dual of [(351, 3), 796, 71]-NRT-code) [i]