Information on Result #704479

Linear OA(391, 728, F3, 23) (dual of [728, 637, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24

Mode: Constructive and linear.

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(391, 463, F3, 2, 23) (dual of [(463, 2), 835, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(391, 463, F3, 3, 23) (dual of [(463, 3), 1298, 24]-NRT-code) [i]
3Linear OOA(391, 463, F3, 4, 23) (dual of [(463, 4), 1761, 24]-NRT-code) [i]
4Linear OOA(391, 463, F3, 5, 23) (dual of [(463, 5), 2224, 24]-NRT-code) [i]
5Digital (68, 91, 463)-net over F3 [i]
6Linear OA(397, 740, F3, 24) (dual of [740, 643, 25]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(3131, 786, F3, 29) (dual of [786, 655, 30]-code) [i]✔
8Linear OA(3129, 780, F3, 29) (dual of [780, 651, 30]-code) [i]✔
9Linear OA(3107, 750, F3, 26) (dual of [750, 643, 27]-code) [i]✔
10Linear OA(3106, 747, F3, 26) (dual of [747, 641, 27]-code) [i]✔
11Linear OA(3127, 772, F3, 29) (dual of [772, 645, 30]-code) [i]✔
12Linear OA(3115, 758, F3, 27) (dual of [758, 643, 28]-code) [i]✔
13Linear OA(3114, 754, F3, 27) (dual of [754, 640, 28]-code) [i]✔
14Linear OA(3125, 768, F3, 29) (dual of [768, 643, 30]-code) [i]✔
15Linear OA(3114, 751, F3, 28) (dual of [751, 637, 29]-code) [i]✔
16Linear OA(3111, 748, F3, 27) (dual of [748, 637, 28]-code) [i]✔
17Linear OA(3113, 748, F3, 28) (dual of [748, 635, 29]-code) [i]✔
18Linear OA(3132, 769, F3, 31) (dual of [769, 637, 32]-code) [i]✔
19Linear OA(3150, 787, F3, 34) (dual of [787, 637, 35]-code) [i]✔
20Linear OA(3148, 781, F3, 34) (dual of [781, 633, 35]-code) [i]✔
21Linear OA(3156, 793, F3, 35) (dual of [793, 637, 36]-code) [i]✔
22Linear OA(3154, 787, F3, 35) (dual of [787, 633, 36]-code) [i]✔
23Linear OA(3166, 796, F3, 36) (dual of [796, 630, 37]-code) [i]✔