Information on Result #717996

Linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43

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(9138, 158, F9, 85) (dual of [158, 20, 86]-code) [i]Repeating Each Code Word
2Linear OA(9137, 156, F9, 85) (dual of [156, 19, 86]-code) [i]
3Linear OA(9136, 154, F9, 85) (dual of [154, 18, 86]-code) [i]
4Linear OA(9135, 152, F9, 85) (dual of [152, 17, 86]-code) [i]
5Linear OA(3198, 240, F3, 85) (dual of [240, 42, 86]-code) [i]Concatenation of Two Codes
6Linear OA(3197, 237, F3, 85) (dual of [237, 40, 86]-code) [i]
7Linear OA(3196, 234, F3, 85) (dual of [234, 38, 86]-code) [i]
8Linear OA(3195, 231, F3, 85) (dual of [231, 36, 86]-code) [i]
9Linear OA(3194, 228, F3, 85) (dual of [228, 34, 86]-code) [i]
10Linear OA(982, 126, F9, 42) (dual of [126, 44, 43]-code) [i]✔Construction XX with Cyclic Codes
11Linear OA(981, 123, F9, 42) (dual of [123, 42, 43]-code) [i]✔
12Linear OA(980, 120, F9, 42) (dual of [120, 40, 43]-code) [i]✔
13Linear OA(978, 116, F9, 42) (dual of [116, 38, 43]-code) [i]✔
14Linear OA(981, 124, F9, 42) (dual of [124, 43, 43]-code) [i]✔
15Linear OA(980, 121, F9, 42) (dual of [121, 41, 43]-code) [i]✔
16Linear OA(979, 118, F9, 42) (dual of [118, 39, 43]-code) [i]✔
17Linear OA(977, 114, F9, 42) (dual of [114, 37, 43]-code) [i]✔
18Linear OA(978, 118, F9, 42) (dual of [118, 40, 43]-code) [i]✔
19Linear OA(977, 115, F9, 42) (dual of [115, 38, 43]-code) [i]✔
20Linear OA(977, 116, F9, 42) (dual of [116, 39, 43]-code) [i]✔
21Linear OA(976, 113, F9, 42) (dual of [113, 37, 43]-code) [i]✔
22Linear OA(968, 100, F9, 42) (dual of [100, 32, 43]-code) [i]✔
23Linear OA(967, 97, F9, 42) (dual of [97, 30, 43]-code) [i]✔
24Linear OA(966, 94, F9, 42) (dual of [94, 28, 43]-code) [i]✔
25Linear OA(965, 92, F9, 42) (dual of [92, 27, 43]-code) [i]✔
26Linear OA(964, 90, F9, 42) (dual of [90, 26, 43]-code) [i]✔
27Linear OA(989, 120, F9, 52) (dual of [120, 31, 53]-code) [i]✔
28Linear OA(988, 118, F9, 52) (dual of [118, 30, 53]-code) [i]✔
29Linear OA(961, 84, F9, 43) (dual of [84, 23, 44]-code) [i]✔
30Linear OA(987, 115, F9, 52) (dual of [115, 28, 53]-code) [i]✔
31Linear OA(964, 87, F9, 44) (dual of [87, 23, 45]-code) [i]✔
32Linear OA(986, 112, F9, 52) (dual of [112, 26, 53]-code) [i]✔
33Linear OA(967, 90, F9, 45) (dual of [90, 23, 46]-code) [i]✔
34Linear OA(979, 103, F9, 52) (dual of [103, 24, 53]-code) [i]✔
35Linear OA(978, 101, F9, 52) (dual of [101, 23, 53]-code) [i]✔
36Linear OA(987, 111, F9, 54) (dual of [111, 24, 55]-code) [i]✔
37Linear OA(983, 106, F9, 53) (dual of [106, 23, 54]-code) [i]✔
38Linear OA(986, 109, F9, 54) (dual of [109, 23, 55]-code) [i]✔
39Linear OA(963, 84, F9, 44) (dual of [84, 21, 45]-code) [i]✔
40Linear OA(980, 101, F9, 53) (dual of [101, 21, 54]-code) [i]✔
41Linear OA(986, 105, F9, 58) (dual of [105, 19, 59]-code) [i]✔
42Linear OA(981, 100, F9, 54) (dual of [100, 19, 55]-code) [i]✔
43Linear OA(982, 100, F9, 55) (dual of [100, 18, 56]-code) [i]✔
44Linear OA(983, 100, F9, 56) (dual of [100, 17, 57]-code) [i]✔
45Linear OA(990, 109, F9, 60) (dual of [109, 19, 61]-code) [i]✔
46Linear OA(9102, 119, F9, 66) (dual of [119, 17, 67]-code) [i]✔
47Linear OA(9100, 117, F9, 65) (dual of [117, 17, 66]-code) [i]✔