Information on Result #615935

Linear OA(961, 82, F9, 43) (dual of [82, 21, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3122, 164, F3, 43) (dual of [164, 42, 44]-code) [i]Trace Code
2Linear OA(3204, 246, F3, 87) (dual of [246, 42, 88]-code) [i]Concatenation of Two Codes
3Linear OA(979, 101, F9, 43) (dual of [101, 22, 44]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(962, 87, F9, 43) (dual of [87, 25, 44]-code) [i]✔
5Linear OA(974, 102, F9, 43) (dual of [102, 28, 44]-code) [i]✔
6Linear OA(975, 104, F9, 43) (dual of [104, 29, 44]-code) [i]✔
7Linear OA(973, 102, F9, 42) (dual of [102, 29, 43]-code) [i]✔
8Linear OA(994, 112, F9, 61) (dual of [112, 18, 62]-code) [i]✔
9Linear OA(995, 114, F9, 61) (dual of [114, 19, 62]-code) [i]✔
10Linear OA(996, 117, F9, 61) (dual of [117, 21, 62]-code) [i]✔
11Linear OA(992, 110, F9, 60) (dual of [110, 18, 61]-code) [i]✔
12Linear OA(993, 112, F9, 60) (dual of [112, 19, 61]-code) [i]✔
13Linear OA(994, 114, F9, 60) (dual of [114, 20, 61]-code) [i]✔
14Linear OA(991, 110, F9, 59) (dual of [110, 19, 60]-code) [i]✔
15Linear OA(992, 112, F9, 59) (dual of [112, 20, 60]-code) [i]✔
16Linear OA(993, 114, F9, 59) (dual of [114, 21, 60]-code) [i]✔
17Linear OA(990, 110, F9, 58) (dual of [110, 20, 59]-code) [i]✔
18Linear OA(991, 112, F9, 58) (dual of [112, 21, 59]-code) [i]✔
19Linear OA(989, 110, F9, 57) (dual of [110, 21, 58]-code) [i]✔
20Linear OA(977, 110, F9, 43) (dual of [110, 33, 44]-code) [i]✔
21Linear OA(994, 113, F9, 61) (dual of [113, 19, 62]-code) [i]✔Construction XX with a Chain of Cyclic Codes
22Linear OA(986, 105, F9, 55) (dual of [105, 19, 56]-code) [i]✔
23Linear OA(993, 111, F9, 61) (dual of [111, 18, 62]-code) [i]✔
24Linear OA(985, 103, F9, 55) (dual of [103, 18, 56]-code) [i]✔
25Linear OA(997, 120, F9, 59) (dual of [120, 23, 60]-code) [i]✔
26Linear OA(992, 115, F9, 56) (dual of [115, 23, 57]-code) [i]✔
27Linear OA(990, 113, F9, 55) (dual of [113, 23, 56]-code) [i]✔
28Linear OA(998, 120, F9, 60) (dual of [120, 22, 61]-code) [i]✔
29Linear OA(996, 118, F9, 59) (dual of [118, 22, 60]-code) [i]✔
30Linear OA(994, 116, F9, 58) (dual of [116, 22, 59]-code) [i]✔
31Linear OA(992, 114, F9, 57) (dual of [114, 22, 58]-code) [i]✔
32Linear OA(990, 112, F9, 56) (dual of [112, 22, 57]-code) [i]✔
33Linear OA(973, 100, F9, 43) (dual of [100, 27, 44]-code) [i]✔
34Linear OA(972, 98, F9, 43) (dual of [98, 26, 44]-code) [i]✔
35Linear OA(978, 112, F9, 42) (dual of [112, 34, 43]-code) [i]✔