Information on Result #678471

Linear OA(4176, 262202, F4, 25) (dual of [262202, 262026, 26]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
  1. linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(413, 58, F4, 6) (dual of [58, 45, 7]-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(4177, 262203, F4, 25) (dual of [262203, 262026, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(4178, 262204, F4, 25) (dual of [262204, 262026, 26]-code) [i]
3Linear OA(4175, 262201, F4, 24) (dual of [262201, 262026, 25]-code) [i]Truncation
4Linear OOA(4176, 131101, F4, 2, 25) (dual of [(131101, 2), 262026, 26]-NRT-code) [i]OOA Folding
5Linear OOA(4176, 87400, F4, 3, 25) (dual of [(87400, 3), 262024, 26]-NRT-code) [i]
6Linear OOA(4176, 21850, F4, 25, 25) (dual of [(21850, 25), 546074, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row