Information on Result #615860

Linear OA(991, 729, F9, 34) (dual of [729, 638, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(994, 732, F9, 35) (dual of [732, 638, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(991, 732, F9, 34) (dual of [732, 641, 35]-code) [i]✔
3Linear OA(999, 737, F9, 37) (dual of [737, 638, 38]-code) [i]✔
4Linear OA(992, 736, F9, 34) (dual of [736, 644, 35]-code) [i]✔
5Linear OA(9103, 739, F9, 38) (dual of [739, 636, 39]-code) [i]✔
6Linear OA(9104, 742, F9, 38) (dual of [742, 638, 39]-code) [i]✔
7Linear OA(993, 739, F9, 34) (dual of [739, 646, 35]-code) [i]✔
8Linear OA(994, 741, F9, 34) (dual of [741, 647, 35]-code) [i]✔
9Linear OA(9108, 745, F9, 39) (dual of [745, 637, 40]-code) [i]✔
10Linear OA(9109, 747, F9, 39) (dual of [747, 638, 40]-code) [i]✔
11Linear OA(995, 745, F9, 34) (dual of [745, 650, 35]-code) [i]✔
12Linear OA(9113, 751, F9, 40) (dual of [751, 638, 41]-code) [i]✔
13Linear OA(997, 750, F9, 34) (dual of [750, 653, 35]-code) [i]✔
14Linear OA(9118, 756, F9, 41) (dual of [756, 638, 42]-code) [i]✔
15Linear OA(998, 754, F9, 34) (dual of [754, 656, 35]-code) [i]✔
16Linear OA(9123, 759, F9, 42) (dual of [759, 636, 43]-code) [i]✔
17Linear OA(9124, 762, F9, 42) (dual of [762, 638, 43]-code) [i]✔
18Linear OA(9102, 759, F9, 34) (dual of [759, 657, 35]-code) [i]✔
19Linear OA(9103, 762, F9, 34) (dual of [762, 659, 35]-code) [i]✔
20Linear OA(9129, 767, F9, 43) (dual of [767, 638, 44]-code) [i]✔
21Linear OA(9105, 767, F9, 34) (dual of [767, 662, 35]-code) [i]✔
22Linear OA(9133, 769, F9, 44) (dual of [769, 636, 45]-code) [i]✔
23Linear OA(9134, 772, F9, 44) (dual of [772, 638, 45]-code) [i]✔
24Linear OA(9106, 769, F9, 34) (dual of [769, 663, 35]-code) [i]✔
25Linear OA(9107, 772, F9, 34) (dual of [772, 665, 35]-code) [i]✔
26Linear OA(9139, 777, F9, 46) (dual of [777, 638, 47]-code) [i]✔
27Linear OA(9108, 776, F9, 34) (dual of [776, 668, 35]-code) [i]✔
28Linear OA(9144, 782, F9, 47) (dual of [782, 638, 48]-code) [i]✔
29Linear OA(9109, 780, F9, 34) (dual of [780, 671, 35]-code) [i]✔
30Linear OA(9149, 787, F9, 48) (dual of [787, 638, 49]-code) [i]✔
31Linear OA(9111, 785, F9, 34) (dual of [785, 674, 35]-code) [i]✔
32Linear OA(9113, 790, F9, 34) (dual of [790, 677, 35]-code) [i]✔
33Linear OA(9122, 758, F9, 42) (dual of [758, 636, 43]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
34Linear OA(9125, 764, F9, 42) (dual of [764, 639, 43]-code) [i]✔
35Linear OA(9117, 753, F9, 41) (dual of [753, 636, 42]-code) [i]✔
36Linear OA(9114, 753, F9, 40) (dual of [753, 639, 41]-code) [i]✔
37Linear OA(996, 747, F9, 34) (dual of [747, 651, 35]-code) [i]✔
38Linear OA(9102, 761, F9, 34) (dual of [761, 659, 35]-code) [i]✔
39Linear OA(9101, 759, F9, 34) (dual of [759, 658, 35]-code) [i]✔
40Linear OA(9100, 757, F9, 34) (dual of [757, 657, 35]-code) [i]✔
41Linear OA(9104, 764, F9, 34) (dual of [764, 660, 35]-code) [i]✔