Information on Result #689904

Linear OA(937, 730, F9, 13) (dual of [730, 693, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)

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(944, 737, F9, 15) (dual of [737, 693, 16]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(938, 737, F9, 13) (dual of [737, 699, 14]-code) [i]✔
3Linear OA(955, 746, F9, 19) (dual of [746, 691, 20]-code) [i]✔
4Linear OA(956, 749, F9, 19) (dual of [749, 693, 20]-code) [i]✔
5Linear OA(954, 746, F9, 18) (dual of [746, 692, 19]-code) [i]✔
6Linear OA(952, 740, F9, 17) (dual of [740, 688, 18]-code) [i]✔
7Linear OA(953, 746, F9, 17) (dual of [746, 693, 18]-code) [i]✔
8Linear OA(951, 740, F9, 16) (dual of [740, 689, 17]-code) [i]✔
9Linear OA(940, 740, F9, 13) (dual of [740, 700, 14]-code) [i]✔
10Linear OA(965, 758, F9, 21) (dual of [758, 693, 22]-code) [i]✔
11Linear OA(976, 769, F9, 23) (dual of [769, 693, 24]-code) [i]✔
12Linear OA(974, 762, F9, 23) (dual of [762, 688, 24]-code) [i]✔Construction XX with a Chain of Cyclic Codes
13Linear OA(972, 760, F9, 22) (dual of [760, 688, 23]-code) [i]✔
14Linear OA(964, 752, F9, 21) (dual of [752, 688, 22]-code) [i]✔
15Linear OA(968, 762, F9, 21) (dual of [762, 694, 22]-code) [i]✔
16Linear OA(966, 760, F9, 20) (dual of [760, 694, 21]-code) [i]✔
17Linear OA(954, 742, F9, 19) (dual of [742, 688, 20]-code) [i]✔
18Linear OA(958, 752, F9, 19) (dual of [752, 694, 20]-code) [i]✔
19Linear OA(955, 749, F9, 17) (dual of [749, 694, 18]-code) [i]✔