Information on Result #690158

Linear OA(919, 729, F9, 7) (dual of [729, 710, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7

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(922, 732, F9, 8) (dual of [732, 710, 9]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(919, 732, F9, 7) (dual of [732, 713, 8]-code) [i]✔
3Linear OA(927, 737, F9, 10) (dual of [737, 710, 11]-code) [i]✔
4Linear OA(931, 739, F9, 11) (dual of [739, 708, 12]-code) [i]✔
5Linear OA(932, 742, F9, 11) (dual of [742, 710, 12]-code) [i]✔
6Linear OA(922, 741, F9, 7) (dual of [741, 719, 8]-code) [i]✔
7Linear OA(936, 745, F9, 12) (dual of [745, 709, 13]-code) [i]✔
8Linear OA(937, 747, F9, 12) (dual of [747, 710, 13]-code) [i]✔
9Linear OA(941, 751, F9, 13) (dual of [751, 710, 14]-code) [i]✔
10Linear OA(946, 756, F9, 14) (dual of [756, 710, 15]-code) [i]✔
11Linear OA(950, 758, F9, 15) (dual of [758, 708, 16]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(945, 753, F9, 14) (dual of [753, 708, 15]-code) [i]✔
13Linear OA(947, 758, F9, 14) (dual of [758, 711, 15]-code) [i]✔
14Linear OA(942, 753, F9, 13) (dual of [753, 711, 14]-code) [i]✔