Information on Result #612980

Linear OA(4252, large, F4, 28) (dual of [large, large−252, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(4252, large, F4, 27) (dual of [large, large−252, 28]-code) [i]Strength Reduction
2Linear OA(4252, large, F4, 26) (dual of [large, large−252, 27]-code) [i]
3Linear OA(4252, large, F4, 25) (dual of [large, large−252, 26]-code) [i]
4Linear OA(4252, large, F4, 24) (dual of [large, large−252, 25]-code) [i]
5Linear OA(4252, large, F4, 23) (dual of [large, large−252, 24]-code) [i]
6Linear OA(4252, large, F4, 22) (dual of [large, large−252, 23]-code) [i]
7Linear OA(4252, large, F4, 21) (dual of [large, large−252, 22]-code) [i]
8Linear OA(4252, large, F4, 20) (dual of [large, large−252, 21]-code) [i]
9Linear OA(4252, large, F4, 19) (dual of [large, large−252, 20]-code) [i]
10Linear OA(4252, large, F4, 18) (dual of [large, large−252, 19]-code) [i]
11Linear OA(4252, large, F4, 17) (dual of [large, large−252, 18]-code) [i]
12Linear OA(4252, large, F4, 16) (dual of [large, large−252, 17]-code) [i]
13Linear OA(4252, large, F4, 15) (dual of [large, large−252, 16]-code) [i]
14Linear OA(4252, large, F4, 14) (dual of [large, large−252, 15]-code) [i]
15Linear OA(4252, large, F4, 13) (dual of [large, large−252, 14]-code) [i]
16Linear OA(4252, large, F4, 12) (dual of [large, large−252, 13]-code) [i]
17Linear OA(4252, large, F4, 11) (dual of [large, large−252, 12]-code) [i]
18Linear OA(4252, large, F4, 10) (dual of [large, large−252, 11]-code) [i]
19Linear OA(4252, large, F4, 9) (dual of [large, large−252, 10]-code) [i]
20Linear OA(4252, large, F4, 8) (dual of [large, large−252, 9]-code) [i]
21Linear OA(4252, large, F4, 7) (dual of [large, large−252, 8]-code) [i]
22Linear OA(4252, large, F4, 6) (dual of [large, large−252, 7]-code) [i]
23Linear OA(4252, large, F4, 5) (dual of [large, large−252, 6]-code) [i]
24Linear OA(4252, large, F4, 4) (dual of [large, large−252, 5]-code) [i]
25Linear OA(4252, large, F4, 3) (dual of [large, large−252, 4]-code) [i]
26Linear OA(4254, large, F4, 28) (dual of [large, large−254, 29]-code) [i]Code Embedding in Larger Space
27Linear OA(4255, large, F4, 28) (dual of [large, large−255, 29]-code) [i]
28Linear OA(4256, large, F4, 28) (dual of [large, large−256, 29]-code) [i]
29Linear OA(4257, large, F4, 28) (dual of [large, large−257, 29]-code) [i]
30Linear OA(4258, large, F4, 28) (dual of [large, large−258, 29]-code) [i]
31Linear OA(4259, large, F4, 28) (dual of [large, large−259, 29]-code) [i]
32Linear OA(4260, large, F4, 28) (dual of [large, large−260, 29]-code) [i]
33Linear OOA(4252, 4194301, F4, 2, 28) (dual of [(4194301, 2), 8388350, 29]-NRT-code) [i]OOA Folding
34Linear OOA(4252, 2796201, F4, 3, 28) (dual of [(2796201, 3), 8388351, 29]-NRT-code) [i]
35Linear OOA(4252, 599185, F4, 28, 28) (dual of [(599185, 28), 16776928, 29]-NRT-code) [i]OA Folding and Stacking