Information on Result #611903

Linear OA(3211, large, F3, 21) (dual of [large, large−211, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)

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(3211, large, F3, 20) (dual of [large, large−211, 21]-code) [i]Strength Reduction
2Linear OA(3211, large, F3, 19) (dual of [large, large−211, 20]-code) [i]
3Linear OA(3211, large, F3, 18) (dual of [large, large−211, 19]-code) [i]
4Linear OA(3211, large, F3, 17) (dual of [large, large−211, 18]-code) [i]
5Linear OA(3211, large, F3, 16) (dual of [large, large−211, 17]-code) [i]
6Linear OA(3211, large, F3, 15) (dual of [large, large−211, 16]-code) [i]
7Linear OA(3211, large, F3, 14) (dual of [large, large−211, 15]-code) [i]
8Linear OA(3211, large, F3, 13) (dual of [large, large−211, 14]-code) [i]
9Linear OA(3211, large, F3, 12) (dual of [large, large−211, 13]-code) [i]
10Linear OA(3211, large, F3, 11) (dual of [large, large−211, 12]-code) [i]
11Linear OA(3211, large, F3, 10) (dual of [large, large−211, 11]-code) [i]
12Linear OA(3211, large, F3, 9) (dual of [large, large−211, 10]-code) [i]
13Linear OA(3211, large, F3, 8) (dual of [large, large−211, 9]-code) [i]
14Linear OA(3211, large, F3, 7) (dual of [large, large−211, 8]-code) [i]
15Linear OA(3211, large, F3, 6) (dual of [large, large−211, 7]-code) [i]
16Linear OA(3211, large, F3, 5) (dual of [large, large−211, 6]-code) [i]
17Linear OA(3211, large, F3, 4) (dual of [large, large−211, 5]-code) [i]
18Linear OA(3211, large, F3, 3) (dual of [large, large−211, 4]-code) [i]