Information on Result #678268

Linear OA(4242, 1048660, F4, 30) (dual of [1048660, 1048418, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) based on
  1. linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), using
    • 1 times truncation [i] based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
      • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]

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(4242, 524330, F4, 2, 30) (dual of [(524330, 2), 1048418, 31]-NRT-code) [i]OOA Folding
2Linear OOA(4242, 349553, F4, 3, 30) (dual of [(349553, 3), 1048417, 31]-NRT-code) [i]