Information on Result #615481

Linear OA(916, 729, F9, 6) (dual of [729, 713, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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(919, 739, F9, 6) (dual of [739, 720, 7]-code) [i](u, u+v)-Construction
2Linear OA(919, 732, F9, 7) (dual of [732, 713, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(916, 732, F9, 6) (dual of [732, 716, 7]-code) [i]✔
4Linear OA(923, 736, F9, 8) (dual of [736, 713, 9]-code) [i]✔
5Linear OA(917, 736, F9, 6) (dual of [736, 719, 7]-code) [i]✔
6Linear OA(928, 739, F9, 10) (dual of [739, 711, 11]-code) [i]✔
7Linear OA(929, 742, F9, 10) (dual of [742, 713, 11]-code) [i]✔
8Linear OA(927, 739, F9, 9) (dual of [739, 712, 10]-code) [i]✔
9Linear OA(918, 739, F9, 6) (dual of [739, 721, 7]-code) [i]✔
10Linear OA(919, 741, F9, 6) (dual of [741, 722, 7]-code) [i]✔
11Linear OA(933, 745, F9, 11) (dual of [745, 712, 12]-code) [i]✔
12Linear OA(934, 747, F9, 11) (dual of [747, 713, 12]-code) [i]✔
13Linear OA(938, 751, F9, 12) (dual of [751, 713, 13]-code) [i]✔
14Linear OA(947, 758, F9, 14) (dual of [758, 711, 15]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(942, 753, F9, 13) (dual of [753, 711, 14]-code) [i]✔
16Linear OA(939, 753, F9, 12) (dual of [753, 714, 13]-code) [i]✔
17Linear OA(917, 737, F9, 6) (dual of [737, 720, 7]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
18Linear OA(926, 740, F9, 8) (dual of [740, 714, 9]-code) [i]✔