Information on Result #704222

Linear OA(361, 728, F3, 15) (dual of [728, 667, 16]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {351,352,…,365}, and designed minimum distance d ≥ |I|+1 = 16

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(361, 440, F3, 2, 15) (dual of [(440, 2), 819, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(361, 440, F3, 3, 15) (dual of [(440, 3), 1259, 16]-NRT-code) [i]
3Linear OOA(361, 440, F3, 4, 15) (dual of [(440, 4), 1699, 16]-NRT-code) [i]
4Linear OOA(361, 440, F3, 5, 15) (dual of [(440, 5), 2139, 16]-NRT-code) [i]
5Digital (46, 61, 440)-net over F3 [i]
6Linear OA(365, 749, F3, 15) (dual of [749, 684, 16]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(365, 750, F3, 15) (dual of [750, 685, 16]-code) [i]✔
8Linear OA(364, 747, F3, 15) (dual of [747, 683, 16]-code) [i]✔
9Linear OA(377, 749, F3, 18) (dual of [749, 672, 19]-code) [i]✔
10Linear OA(368, 741, F3, 17) (dual of [741, 673, 18]-code) [i]✔
11Linear OA(377, 750, F3, 18) (dual of [750, 673, 19]-code) [i]✔
12Linear OA(376, 747, F3, 18) (dual of [747, 671, 19]-code) [i]✔
13Linear OA(396, 770, F3, 21) (dual of [770, 674, 22]-code) [i]✔
14Linear OA(394, 764, F3, 21) (dual of [764, 670, 22]-code) [i]✔
15Linear OA(386, 759, F3, 20) (dual of [759, 673, 21]-code) [i]✔
16Linear OA(395, 768, F3, 21) (dual of [768, 673, 22]-code) [i]✔
17Linear OA(393, 762, F3, 21) (dual of [762, 669, 22]-code) [i]✔
18Linear OA(375, 742, F3, 19) (dual of [742, 667, 20]-code) [i]✔
19Linear OA(393, 760, F3, 22) (dual of [760, 667, 23]-code) [i]✔