Information on Result #704498

Linear OA(3111, 728, F3, 28) (dual of [728, 617, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,363}, and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3111, 528, F3, 2, 28) (dual of [(528, 2), 945, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3111, 528, F3, 3, 28) (dual of [(528, 3), 1473, 29]-NRT-code) [i]
3Linear OOA(3111, 528, F3, 4, 28) (dual of [(528, 4), 2001, 29]-NRT-code) [i]
4Linear OOA(3111, 528, F3, 5, 28) (dual of [(528, 5), 2529, 29]-NRT-code) [i]
5Digital (83, 111, 528)-net over F3 [i]
6Linear OA(3133, 773, F3, 30) (dual of [773, 640, 31]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(3129, 767, F3, 30) (dual of [767, 638, 31]-code) [i]✔
8Linear OA(3127, 764, F3, 30) (dual of [764, 637, 31]-code) [i]✔
9Linear OA(3143, 783, F3, 32) (dual of [783, 640, 33]-code) [i]✔
10Linear OA(3124, 756, F3, 30) (dual of [756, 632, 31]-code) [i]✔
11Linear OA(3139, 777, F3, 32) (dual of [777, 638, 33]-code) [i]✔
12Linear OA(3137, 774, F3, 32) (dual of [774, 637, 33]-code) [i]✔
13Linear OA(3151, 791, F3, 33) (dual of [791, 640, 34]-code) [i]✔
14Linear OA(3122, 748, F3, 30) (dual of [748, 626, 31]-code) [i]✔
15Linear OA(3147, 785, F3, 33) (dual of [785, 638, 34]-code) [i]✔
16Linear OA(3145, 782, F3, 33) (dual of [782, 637, 34]-code) [i]✔
17Linear OA(3134, 749, F3, 33) (dual of [749, 615, 34]-code) [i]✔
18Linear OA(3153, 770, F3, 36) (dual of [770, 617, 37]-code) [i]✔
19Linear OA(3151, 764, F3, 36) (dual of [764, 613, 37]-code) [i]✔
20Linear OA(3171, 788, F3, 39) (dual of [788, 617, 40]-code) [i]✔