Information on Result #704962

Linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36

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 OA(3180, 796, F3, 41) (dual of [796, 616, 42]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3178, 790, F3, 41) (dual of [790, 612, 42]-code) [i]✔
3Linear OA(3142, 740, F3, 36) (dual of [740, 598, 37]-code) [i]✔
4Linear OA(3176, 786, F3, 41) (dual of [786, 610, 42]-code) [i]✔
5Linear OA(3174, 780, F3, 41) (dual of [780, 606, 42]-code) [i]✔
6Linear OA(3152, 750, F3, 38) (dual of [750, 598, 39]-code) [i]✔
7Linear OA(3151, 747, F3, 38) (dual of [747, 596, 39]-code) [i]✔
8Linear OA(3186, 789, F3, 42) (dual of [789, 603, 43]-code) [i]✔
9Linear OA(3172, 772, F3, 41) (dual of [772, 600, 42]-code) [i]✔
10Linear OA(3160, 758, F3, 39) (dual of [758, 598, 40]-code) [i]✔
11Linear OA(3159, 754, F3, 39) (dual of [754, 595, 40]-code) [i]✔
12Linear OA(3170, 768, F3, 41) (dual of [768, 598, 42]-code) [i]✔
13Linear OA(3168, 762, F3, 41) (dual of [762, 594, 42]-code) [i]✔
14Linear OA(3180, 771, F3, 42) (dual of [771, 591, 43]-code) [i]✔
15Linear OA(3159, 751, F3, 40) (dual of [751, 592, 41]-code) [i]✔
16Linear OA(3156, 748, F3, 39) (dual of [748, 592, 40]-code) [i]✔
17Linear OA(3158, 748, F3, 40) (dual of [748, 590, 41]-code) [i]✔
18Linear OA(3166, 755, F3, 41) (dual of [755, 589, 42]-code) [i]✔
19Linear OA(3177, 769, F3, 43) (dual of [769, 592, 44]-code) [i]✔
20Linear OA(3175, 763, F3, 43) (dual of [763, 588, 44]-code) [i]✔
21Linear OA(3187, 772, F3, 44) (dual of [772, 585, 45]-code) [i]✔
22Linear OA(3184, 772, F3, 44) (dual of [772, 588, 45]-code) [i]✔
23Linear OA(3195, 787, F3, 46) (dual of [787, 592, 47]-code) [i]✔
24Linear OA(3193, 785, F3, 45) (dual of [785, 592, 46]-code) [i]✔
25Linear OA(3193, 781, F3, 46) (dual of [781, 588, 47]-code) [i]✔
26Linear OA(3205, 790, F3, 47) (dual of [790, 585, 48]-code) [i]✔
27Linear OA(3204, 796, F3, 47) (dual of [796, 592, 48]-code) [i]✔
28Linear OA(3202, 790, F3, 47) (dual of [790, 588, 48]-code) [i]✔
29Linear OA(3214, 799, F3, 48) (dual of [799, 585, 49]-code) [i]✔