Information on Result #704871

Linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38

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 OA(3148, 759, F3, 36) (dual of [759, 611, 37]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3148, 753, F3, 37) (dual of [753, 605, 38]-code) [i]✔
3Linear OA(3146, 748, F3, 36) (dual of [748, 602, 37]-code) [i]✔
4Linear OA(3147, 757, F3, 36) (dual of [757, 610, 37]-code) [i]✔
5Linear OA(3149, 757, F3, 37) (dual of [757, 608, 38]-code) [i]✔
6Linear OA(3146, 754, F3, 36) (dual of [754, 608, 37]-code) [i]✔
7Linear OA(3147, 751, F3, 37) (dual of [751, 604, 38]-code) [i]✔
8Linear OA(3144, 748, F3, 36) (dual of [748, 604, 37]-code) [i]✔
9Linear OA(3146, 748, F3, 37) (dual of [748, 602, 38]-code) [i]✔
10Linear OA(3153, 752, F3, 38) (dual of [752, 599, 39]-code) [i]✔
11Linear OA(3152, 750, F3, 38) (dual of [750, 598, 39]-code) [i]✔
12Linear OA(3151, 747, F3, 38) (dual of [747, 596, 39]-code) [i]✔
13Linear OA(3160, 759, F3, 39) (dual of [759, 599, 40]-code) [i]✔
14Linear OA(3159, 757, F3, 39) (dual of [757, 598, 40]-code) [i]✔
15Linear OA(3161, 757, F3, 40) (dual of [757, 596, 41]-code) [i]✔
16Linear OA(3158, 754, F3, 39) (dual of [754, 596, 40]-code) [i]✔
17Linear OOA(3142, 364, F3, 2, 37) (dual of [(364, 2), 586, 38]-NRT-code) [i]OOA Folding
18Linear OOA(3142, 182, F3, 4, 37) (dual of [(182, 4), 586, 38]-NRT-code) [i]
19Linear OOA(3142, 145, F3, 5, 37) (dual of [(145, 5), 583, 38]-NRT-code) [i]