Information on Result #704390

Linear OA(379, 728, F3, 20) (dual of [728, 649, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21

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(379, 426, F3, 2, 20) (dual of [(426, 2), 773, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(379, 426, F3, 3, 20) (dual of [(426, 3), 1199, 21]-NRT-code) [i]
3Linear OOA(379, 426, F3, 4, 20) (dual of [(426, 4), 1625, 21]-NRT-code) [i]
4Linear OOA(379, 426, F3, 5, 20) (dual of [(426, 5), 2051, 21]-NRT-code) [i]
5Digital (59, 79, 426)-net over F3 [i]
6Linear OA(385, 740, F3, 21) (dual of [740, 655, 22]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(3117, 780, F3, 26) (dual of [780, 663, 27]-code) [i]✔
8Linear OA(395, 750, F3, 23) (dual of [750, 655, 24]-code) [i]✔
9Linear OA(394, 747, F3, 23) (dual of [747, 653, 24]-code) [i]✔
10Linear OA(3115, 772, F3, 26) (dual of [772, 657, 27]-code) [i]✔
11Linear OA(3103, 758, F3, 24) (dual of [758, 655, 25]-code) [i]✔
12Linear OA(3102, 754, F3, 24) (dual of [754, 652, 25]-code) [i]✔
13Linear OA(3113, 768, F3, 26) (dual of [768, 655, 27]-code) [i]✔
14Linear OA(3111, 762, F3, 26) (dual of [762, 651, 27]-code) [i]✔
15Linear OA(3123, 771, F3, 27) (dual of [771, 648, 28]-code) [i]✔
16Linear OA(3102, 751, F3, 25) (dual of [751, 649, 26]-code) [i]✔
17Linear OA(399, 748, F3, 24) (dual of [748, 649, 25]-code) [i]✔
18Linear OA(3101, 748, F3, 25) (dual of [748, 647, 26]-code) [i]✔
19Linear OA(3109, 755, F3, 26) (dual of [755, 646, 27]-code) [i]✔
20Linear OA(3120, 769, F3, 28) (dual of [769, 649, 29]-code) [i]✔
21Linear OA(3118, 763, F3, 28) (dual of [763, 645, 29]-code) [i]✔
22Linear OA(3127, 772, F3, 29) (dual of [772, 645, 30]-code) [i]✔
23Linear OA(3138, 787, F3, 31) (dual of [787, 649, 32]-code) [i]✔
24Linear OA(3136, 785, F3, 30) (dual of [785, 649, 31]-code) [i]✔
25Linear OA(3136, 781, F3, 31) (dual of [781, 645, 32]-code) [i]✔
26Linear OA(3145, 790, F3, 32) (dual of [790, 645, 33]-code) [i]✔