Information on Result #615513

Linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8

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(954, 4782979, F9, 8) (dual of [4782979, 4782925, 9]-code) [i](u, u+v)-Construction
2Linear OA(955, 4782985, F9, 8) (dual of [4782985, 4782930, 9]-code) [i]
3Linear OA(956, 4783041, F9, 8) (dual of [4783041, 4782985, 9]-code) [i]
4Linear OA(955, 4782975, F9, 8) (dual of [4782975, 4782920, 9]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(956, 4782989, F9, 8) (dual of [4782989, 4782933, 9]-code) [i]
6Linear OA(958, 4782977, F9, 10) (dual of [4782977, 4782919, 11]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(950, 4782976, F9, 8) (dual of [4782976, 4782926, 9]-code) [i]
8Linear OA(966, 4782979, F9, 11) (dual of [4782979, 4782913, 12]-code) [i]
9Linear OA(967, 4782986, F9, 11) (dual of [4782986, 4782919, 12]-code) [i]
10Linear OA(951, 4782984, F9, 8) (dual of [4782984, 4782933, 9]-code) [i]
11Linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code) [i]
12Linear OA(953, 4782993, F9, 8) (dual of [4782993, 4782940, 9]-code) [i]
13Linear OA(984, 4783003, F9, 13) (dual of [4783003, 4782919, 14]-code) [i]
14Linear OA(954, 4783001, F9, 8) (dual of [4783001, 4782947, 9]-code) [i]
15Linear OA(992, 4783011, F9, 14) (dual of [4783011, 4782919, 15]-code) [i]
16Linear OA(9103, 4783022, F9, 15) (dual of [4783022, 4782919, 16]-code) [i]
17Linear OA(9112, 4783031, F9, 16) (dual of [4783031, 4782919, 17]-code) [i]
18Linear OA(9111, 4783030, F9, 16) (dual of [4783030, 4782919, 17]-code) [i]
19Linear OA(983, 4782996, F9, 13) (dual of [4782996, 4782913, 14]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(976, 4782996, F9, 12) (dual of [4782996, 4782920, 13]-code) [i]
21Linear OA(951, 4782985, F9, 8) (dual of [4782985, 4782934, 9]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes