Information on Result #678314

Linear OA(4170, 262188, F4, 24) (dual of [262188, 262018, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(4127, 262145, F4, 19) (dual of [262145, 262018, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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 OA(4171, 262189, F4, 24) (dual of [262189, 262018, 25]-code) [i]Code Embedding in Larger Space
2Linear OOA(4170, 131094, F4, 2, 24) (dual of [(131094, 2), 262018, 25]-NRT-code) [i]OOA Folding
3Linear OOA(4170, 87396, F4, 3, 24) (dual of [(87396, 3), 262018, 25]-NRT-code) [i]
4Linear OOA(4170, 21849, F4, 24, 24) (dual of [(21849, 24), 524206, 25]-NRT-code) [i]OA Folding and Stacking