Information on Result #615870

Linear OA(994, 729, F9, 35) (dual of [729, 635, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(998, 733, F9, 37) (dual of [733, 635, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(994, 732, F9, 35) (dual of [732, 638, 36]-code) [i]✔
3Linear OA(9102, 737, F9, 38) (dual of [737, 635, 39]-code) [i]✔
4Linear OA(995, 736, F9, 35) (dual of [736, 641, 36]-code) [i]✔
5Linear OA(9107, 742, F9, 39) (dual of [742, 635, 40]-code) [i]✔
6Linear OA(996, 739, F9, 35) (dual of [739, 643, 36]-code) [i]✔
7Linear OA(997, 741, F9, 35) (dual of [741, 644, 36]-code) [i]✔
8Linear OA(9111, 745, F9, 40) (dual of [745, 634, 41]-code) [i]✔
9Linear OA(9112, 747, F9, 40) (dual of [747, 635, 41]-code) [i]✔
10Linear OA(998, 745, F9, 35) (dual of [745, 647, 36]-code) [i]✔
11Linear OA(9116, 751, F9, 41) (dual of [751, 635, 42]-code) [i]✔
12Linear OA(9100, 750, F9, 35) (dual of [750, 650, 36]-code) [i]✔
13Linear OA(9121, 756, F9, 42) (dual of [756, 635, 43]-code) [i]✔
14Linear OA(9101, 754, F9, 35) (dual of [754, 653, 36]-code) [i]✔
15Linear OA(9103, 757, F9, 35) (dual of [757, 654, 36]-code) [i]✔
16Linear OA(9104, 760, F9, 35) (dual of [760, 656, 36]-code) [i]✔
17Linear OA(9132, 767, F9, 44) (dual of [767, 635, 45]-code) [i]✔
18Linear OA(9108, 767, F9, 35) (dual of [767, 659, 36]-code) [i]✔
19Linear OA(9137, 770, F9, 46) (dual of [770, 633, 47]-code) [i]✔
20Linear OA(9138, 773, F9, 46) (dual of [773, 635, 47]-code) [i]✔
21Linear OA(9109, 769, F9, 35) (dual of [769, 660, 36]-code) [i]✔
22Linear OA(9110, 772, F9, 35) (dual of [772, 662, 36]-code) [i]✔
23Linear OA(9142, 777, F9, 47) (dual of [777, 635, 48]-code) [i]✔
24Linear OA(9111, 776, F9, 35) (dual of [776, 665, 36]-code) [i]✔
25Linear OA(9147, 782, F9, 48) (dual of [782, 635, 49]-code) [i]✔
26Linear OA(9112, 780, F9, 35) (dual of [780, 668, 36]-code) [i]✔
27Linear OA(9114, 785, F9, 35) (dual of [785, 671, 36]-code) [i]✔
28Linear OA(9116, 790, F9, 35) (dual of [790, 674, 36]-code) [i]✔
29Linear OA(9131, 765, F9, 44) (dual of [765, 634, 45]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(9130, 763, F9, 44) (dual of [763, 633, 45]-code) [i]✔
31Linear OA(9126, 761, F9, 43) (dual of [761, 635, 44]-code) [i]✔
32Linear OA(9125, 759, F9, 43) (dual of [759, 634, 44]-code) [i]✔
33Linear OA(9120, 753, F9, 42) (dual of [753, 633, 43]-code) [i]✔
34Linear OA(9122, 758, F9, 42) (dual of [758, 636, 43]-code) [i]✔
35Linear OA(9117, 753, F9, 41) (dual of [753, 636, 42]-code) [i]✔
36Linear OA(999, 747, F9, 35) (dual of [747, 648, 36]-code) [i]✔
37Linear OA(9103, 758, F9, 35) (dual of [758, 655, 36]-code) [i]✔
38Linear OA(9102, 756, F9, 35) (dual of [756, 654, 36]-code) [i]✔
39Linear OA(9107, 764, F9, 35) (dual of [764, 657, 36]-code) [i]✔
40Linear OA(9107, 765, F9, 35) (dual of [765, 658, 36]-code) [i]✔
41Linear OA(9106, 763, F9, 35) (dual of [763, 657, 36]-code) [i]✔