Information on Result #615916

Linear OA(957, 82, F9, 41) (dual of [82, 25, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(957, 82, F9, 40) (dual of [82, 25, 41]-code) [i]Strength Reduction
2Linear OA(957, 82, F9, 39) (dual of [82, 25, 40]-code) [i]
3Linear OA(957, 82, F9, 38) (dual of [82, 25, 39]-code) [i]
4Linear OA(958, 83, F9, 41) (dual of [83, 25, 42]-code) [i]Code Embedding in Larger Space
5Linear OA(954, 79, F9, 38) (dual of [79, 25, 39]-code) [i]Truncation
6Linear OA(953, 78, F9, 37) (dual of [78, 25, 38]-code) [i]
7Linear OA(952, 77, F9, 36) (dual of [77, 25, 37]-code) [i]
8Linear OA(951, 76, F9, 35) (dual of [76, 25, 36]-code) [i]
9Linear OA(950, 75, F9, 34) (dual of [75, 25, 35]-code) [i]
10Linear OA(949, 74, F9, 33) (dual of [74, 25, 34]-code) [i]
11Linear OA(3114, 164, F3, 41) (dual of [164, 50, 42]-code) [i]Trace Code
12Linear OA(3196, 246, F3, 83) (dual of [246, 50, 84]-code) [i]Concatenation of Two Codes
13Linear OA(976, 102, F9, 41) (dual of [102, 26, 42]-code) [i]✔Construction X with Cyclic Codes
14Linear OA(962, 87, F9, 43) (dual of [87, 25, 44]-code) [i]✔
15Linear OA(966, 92, F9, 41) (dual of [92, 26, 42]-code) [i]✔
16Linear OA(967, 96, F9, 41) (dual of [96, 29, 42]-code) [i]✔
17Linear OA(964, 92, F9, 39) (dual of [92, 28, 40]-code) [i]✔
18Linear OA(963, 92, F9, 38) (dual of [92, 29, 39]-code) [i]✔
19Linear OA(968, 92, F9, 45) (dual of [92, 24, 46]-code) [i]✔
20Linear OA(969, 94, F9, 45) (dual of [94, 25, 46]-code) [i]✔
21Linear OA(970, 102, F9, 41) (dual of [102, 32, 42]-code) [i]✔
22Linear OA(971, 104, F9, 41) (dual of [104, 33, 42]-code) [i]✔
23Linear OA(968, 98, F9, 40) (dual of [98, 30, 41]-code) [i]✔
24Linear OA(969, 102, F9, 40) (dual of [102, 33, 41]-code) [i]✔
25Linear OA(967, 100, F9, 39) (dual of [100, 33, 40]-code) [i]✔
26Linear OA(973, 110, F9, 41) (dual of [110, 37, 42]-code) [i]✔
27Linear OA(967, 102, F9, 37) (dual of [102, 35, 38]-code) [i]✔
28Linear OA(966, 102, F9, 35) (dual of [102, 36, 36]-code) [i]✔
29Linear OA(965, 102, F9, 34) (dual of [102, 37, 35]-code) [i]✔
30Linear OA(9100, 122, F9, 61) (dual of [122, 22, 62]-code) [i]✔
31Linear OA(9101, 124, F9, 61) (dual of [124, 23, 62]-code) [i]✔
32Linear OA(999, 122, F9, 60) (dual of [122, 23, 61]-code) [i]✔
33Linear OA(9100, 124, F9, 60) (dual of [124, 24, 61]-code) [i]✔
34Linear OA(9101, 126, F9, 60) (dual of [126, 25, 61]-code) [i]✔
35Linear OA(998, 122, F9, 59) (dual of [122, 24, 60]-code) [i]✔
36Linear OA(999, 124, F9, 59) (dual of [124, 25, 60]-code) [i]✔
37Linear OA(996, 118, F9, 58) (dual of [118, 22, 59]-code) [i]✔
38Linear OA(997, 122, F9, 58) (dual of [122, 25, 59]-code) [i]✔
39Linear OA(994, 117, F9, 57) (dual of [117, 23, 58]-code) [i]✔
40Linear OA(992, 114, F9, 56) (dual of [114, 22, 57]-code) [i]✔
41Linear OA(994, 118, F9, 56) (dual of [118, 24, 57]-code) [i]✔
42Linear OA(990, 112, F9, 55) (dual of [112, 22, 56]-code) [i]✔
43Linear OA(991, 114, F9, 55) (dual of [114, 23, 56]-code) [i]✔
44Linear OA(992, 117, F9, 55) (dual of [117, 25, 56]-code) [i]✔
45Linear OA(988, 110, F9, 54) (dual of [110, 22, 55]-code) [i]✔
46Linear OA(989, 112, F9, 54) (dual of [112, 23, 55]-code) [i]✔
47Linear OA(990, 114, F9, 54) (dual of [114, 24, 55]-code) [i]✔
48Linear OA(978, 117, F9, 41) (dual of [117, 39, 42]-code) [i]✔
49Linear OA(980, 121, F9, 41) (dual of [121, 41, 42]-code) [i]✔
50Linear OA(976, 114, F9, 40) (dual of [114, 38, 41]-code) [i]✔
51Linear OA(978, 118, F9, 40) (dual of [118, 40, 41]-code) [i]✔
52Linear OA(974, 112, F9, 39) (dual of [112, 38, 40]-code) [i]✔
53Linear OA(975, 114, F9, 39) (dual of [114, 39, 40]-code) [i]✔
54Linear OA(976, 117, F9, 39) (dual of [117, 41, 40]-code) [i]✔
55Linear OA(972, 110, F9, 38) (dual of [110, 38, 39]-code) [i]✔
56Linear OA(973, 112, F9, 38) (dual of [112, 39, 39]-code) [i]✔
57Linear OA(974, 114, F9, 38) (dual of [114, 40, 39]-code) [i]✔
58Linear OA(971, 110, F9, 37) (dual of [110, 39, 38]-code) [i]✔
59Linear OA(972, 112, F9, 37) (dual of [112, 40, 38]-code) [i]✔
60Linear OA(973, 114, F9, 37) (dual of [114, 41, 38]-code) [i]✔
61Linear OA(970, 110, F9, 36) (dual of [110, 40, 37]-code) [i]✔
62Linear OA(971, 112, F9, 36) (dual of [112, 41, 37]-code) [i]✔
63Linear OA(969, 110, F9, 35) (dual of [110, 41, 36]-code) [i]✔
64Linear OA(997, 120, F9, 59) (dual of [120, 23, 60]-code) [i]✔Construction XX with a Chain of Cyclic Codes
65Linear OA(992, 115, F9, 56) (dual of [115, 23, 57]-code) [i]✔
66Linear OA(990, 113, F9, 55) (dual of [113, 23, 56]-code) [i]✔
67Linear OA(998, 120, F9, 60) (dual of [120, 22, 61]-code) [i]✔
68Linear OA(996, 118, F9, 59) (dual of [118, 22, 60]-code) [i]✔
69Linear OA(994, 116, F9, 58) (dual of [116, 22, 59]-code) [i]✔
70Linear OA(992, 114, F9, 57) (dual of [114, 22, 58]-code) [i]✔
71Linear OA(990, 112, F9, 56) (dual of [112, 22, 57]-code) [i]✔
72Linear OA(973, 100, F9, 43) (dual of [100, 27, 44]-code) [i]✔
73Linear OA(972, 98, F9, 43) (dual of [98, 26, 44]-code) [i]✔
74Linear OA(969, 99, F9, 41) (dual of [99, 30, 42]-code) [i]✔
75Linear OA(964, 94, F9, 37) (dual of [94, 30, 38]-code) [i]✔
76Linear OA(970, 105, F9, 39) (dual of [105, 35, 40]-code) [i]✔
77Linear OA(969, 103, F9, 39) (dual of [103, 34, 40]-code) [i]✔
78Linear OA(976, 115, F9, 40) (dual of [115, 39, 41]-code) [i]✔
79Linear OA(974, 113, F9, 39) (dual of [113, 39, 40]-code) [i]✔
80Linear OA(976, 114, F9, 41) (dual of [114, 38, 42]-code) [i]✔
81Linear OA(974, 112, F9, 40) (dual of [112, 38, 41]-code) [i]✔
82Linear OOA(957, 41, F9, 2, 41) (dual of [(41, 2), 25, 42]-NRT-code) [i]OOA Folding