Information on Result #709476

Linear OA(4246, 1074, F4, 62) (dual of [1074, 828, 63]-code), using construction XX applied to C1 = C([1018,52]), C2 = C([1,56]), C3 = C1 + C2 = C([1,52]), and C∩ = C1 ∩ C2 = C([1018,56]) based on
  1. linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,52}, and designed minimum distance d ≥ |I|+1 = 59 [i]
  2. linear OA(4210, 1023, F4, 56) (dual of [1023, 813, 57]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
  3. 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 = {−5,−4,…,56}, and designed minimum distance d ≥ |I|+1 = 63 [i]
  4. linear OA(4195, 1023, F4, 52) (dual of [1023, 828, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  5. linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
  6. linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), 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(4246, 537, F4, 2, 62) (dual of [(537, 2), 828, 63]-NRT-code) [i]OOA Folding
2Linear OOA(4246, 358, F4, 3, 62) (dual of [(358, 3), 828, 63]-NRT-code) [i]