Information on Result #613006

Linear OA(4254, 4194304, F4, 31) (dual of [4194304, 4194050, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(4254, 4194315, F4, 31) (dual of [4194315, 4194061, 32]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4255, 4194327, F4, 31) (dual of [4194327, 4194072, 32]-code) [i]
3Linear OA(4259, 4194342, F4, 31) (dual of [4194342, 4194083, 32]-code) [i]
4Linear OOA(4254, 279620, F4, 31, 31) (dual of [(279620, 31), 8667966, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row