Information on Result #678791

Linear OA(4255, 65621, F4, 39) (dual of [65621, 65366, 40]-code), using construction X applied to Ce(38) ⊂ Ce(28) based on
  1. linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. 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 OA(4257, 65625, F4, 39) (dual of [65625, 65368, 40]-code) [i]Construction X with VarÅ¡amov Bound
2Linear OA(4258, 65627, F4, 39) (dual of [65627, 65369, 40]-code) [i]
3Linear OA(4259, 65629, F4, 39) (dual of [65629, 65370, 40]-code) [i]
4Linear OOA(4255, 32810, F4, 2, 39) (dual of [(32810, 2), 65365, 40]-NRT-code) [i]OOA Folding
5Linear OOA(4255, 21873, F4, 3, 39) (dual of [(21873, 3), 65364, 40]-NRT-code) [i]