Information on Result #704229

Linear OA(373, 728, F3, 18) (dual of [728, 655, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,365}, and designed minimum distance d ≥ |I|+1 = 19

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(373, 463, F3, 2, 18) (dual of [(463, 2), 853, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(373, 463, F3, 3, 18) (dual of [(463, 3), 1316, 19]-NRT-code) [i]
3Linear OOA(373, 463, F3, 4, 18) (dual of [(463, 4), 1779, 19]-NRT-code) [i]
4Linear OOA(373, 463, F3, 5, 18) (dual of [(463, 5), 2242, 19]-NRT-code) [i]
5Digital (55, 73, 463)-net over F3 [i]
6Linear OA(382, 764, F3, 18) (dual of [764, 682, 19]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(377, 749, F3, 18) (dual of [749, 672, 19]-code) [i]✔
8Linear OA(377, 750, F3, 18) (dual of [750, 673, 19]-code) [i]✔
9Linear OA(376, 747, F3, 18) (dual of [747, 671, 19]-code) [i]✔
10Linear OA(389, 749, F3, 21) (dual of [749, 660, 22]-code) [i]✔
11Linear OA(380, 741, F3, 20) (dual of [741, 661, 21]-code) [i]✔
12Linear OA(3104, 777, F3, 23) (dual of [777, 673, 24]-code) [i]✔
13Linear OA(389, 750, F3, 21) (dual of [750, 661, 22]-code) [i]✔
14Linear OA(388, 747, F3, 21) (dual of [747, 659, 22]-code) [i]✔
15Linear OA(3108, 770, F3, 24) (dual of [770, 662, 25]-code) [i]✔
16Linear OA(3106, 764, F3, 24) (dual of [764, 658, 25]-code) [i]✔
17Linear OA(398, 759, F3, 23) (dual of [759, 661, 24]-code) [i]✔
18Linear OA(3107, 768, F3, 24) (dual of [768, 661, 25]-code) [i]✔
19Linear OA(387, 742, F3, 22) (dual of [742, 655, 23]-code) [i]✔
20Linear OA(3105, 760, F3, 25) (dual of [760, 655, 26]-code) [i]✔