Information on Result #676531

Linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3103, 735, F3, 26) (dual of [735, 632, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(398, 736, F3, 25) (dual of [736, 638, 26]-code) [i]✔
3Linear OA(3112, 742, F3, 28) (dual of [742, 630, 29]-code) [i]✔
4Linear OA(3113, 745, F3, 28) (dual of [745, 632, 29]-code) [i]✔
5Linear OA(398, 742, F3, 24) (dual of [742, 644, 25]-code) [i]✔
6Linear OA(3100, 742, F3, 25) (dual of [742, 642, 26]-code) [i]✔
7Linear OA(3101, 745, F3, 25) (dual of [745, 644, 26]-code) [i]✔
8Linear OA(3117, 749, F3, 29) (dual of [749, 632, 30]-code) [i]✔
9Linear OA(3104, 754, F3, 25) (dual of [754, 650, 26]-code) [i]✔
10Linear OA(3102, 749, F3, 24) (dual of [749, 647, 25]-code) [i]✔
11Linear OA(3126, 757, F3, 31) (dual of [757, 631, 32]-code) [i]✔
12Linear OA(3128, 760, F3, 31) (dual of [760, 632, 32]-code) [i]✔
13Linear OA(3126, 758, F3, 30) (dual of [758, 632, 31]-code) [i]✔
14Linear OA(3138, 769, F3, 32) (dual of [769, 631, 33]-code) [i]✔
15Linear OA(3139, 771, F3, 32) (dual of [771, 632, 33]-code) [i]✔
16Linear OA(3149, 777, F3, 34) (dual of [777, 628, 35]-code) [i]✔
17Linear OA(3150, 779, F3, 34) (dual of [779, 629, 35]-code) [i]✔
18Linear OA(3151, 783, F3, 34) (dual of [783, 632, 35]-code) [i]✔
19Linear OA(3147, 779, F3, 33) (dual of [779, 632, 34]-code) [i]✔
20Linear OA(3160, 792, F3, 35) (dual of [792, 632, 36]-code) [i]✔
21Linear OA(3137, 766, F3, 32) (dual of [766, 629, 33]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(3136, 764, F3, 32) (dual of [764, 628, 33]-code) [i]✔
23Linear OA(3135, 762, F3, 32) (dual of [762, 627, 33]-code) [i]✔
24Linear OA(3131, 767, F3, 30) (dual of [767, 636, 31]-code) [i]✔
25Linear OA(3132, 767, F3, 31) (dual of [767, 635, 32]-code) [i]✔
26Linear OA(3130, 765, F3, 30) (dual of [765, 635, 31]-code) [i]✔
27Linear OA(3131, 765, F3, 31) (dual of [765, 634, 32]-code) [i]✔
28Linear OA(3129, 763, F3, 30) (dual of [763, 634, 31]-code) [i]✔
29Linear OA(3130, 763, F3, 31) (dual of [763, 633, 32]-code) [i]✔
30Linear OA(3128, 761, F3, 30) (dual of [761, 633, 31]-code) [i]✔
31Linear OA(3116, 743, F3, 29) (dual of [743, 627, 30]-code) [i]✔
32Linear OA(3111, 738, F3, 28) (dual of [738, 627, 29]-code) [i]✔
33Linear OA(3113, 747, F3, 27) (dual of [747, 634, 28]-code) [i]✔
34Linear OA(3115, 748, F3, 28) (dual of [748, 633, 29]-code) [i]✔
35Linear OA(3105, 738, F3, 26) (dual of [738, 633, 27]-code) [i]✔
36Linear OA(399, 738, F3, 25) (dual of [738, 639, 26]-code) [i]✔
37Linear OA(3101, 747, F3, 24) (dual of [747, 646, 25]-code) [i]✔
38Linear OA(3100, 745, F3, 24) (dual of [745, 645, 25]-code) [i]✔
39Linear OOA(397, 243, F3, 3, 25) (dual of [(243, 3), 632, 26]-NRT-code) [i]OOA Folding