Information on Result #717735

Linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31

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(9116, 142, F9, 61) (dual of [142, 26, 62]-code) [i]Repeating Each Code Word
2Linear OA(3160, 210, F3, 61) (dual of [210, 50, 62]-code) [i]Concatenation of Two Codes
3Linear OA(3159, 207, F3, 61) (dual of [207, 48, 62]-code) [i]
4Linear OA(3158, 204, F3, 61) (dual of [204, 46, 62]-code) [i]
5Linear OA(3157, 201, F3, 61) (dual of [201, 44, 62]-code) [i]
6Linear OA(3250, 320, F3, 92) (dual of [320, 70, 93]-code) [i]
7Linear OA(3248, 316, F3, 92) (dual of [316, 68, 93]-code) [i]
8Linear OA(3246, 312, F3, 92) (dual of [312, 66, 93]-code) [i]
9Linear OA(3244, 308, F3, 92) (dual of [308, 64, 93]-code) [i]
10Linear OA(3242, 304, F3, 92) (dual of [304, 62, 93]-code) [i]
11Linear OA(3240, 300, F3, 92) (dual of [300, 60, 93]-code) [i]
12Linear OA(3238, 296, F3, 92) (dual of [296, 58, 93]-code) [i]
13Linear OA(3236, 292, F3, 92) (dual of [292, 56, 93]-code) [i]
14Linear OA(3234, 288, F3, 92) (dual of [288, 54, 93]-code) [i]
15Linear OA(3232, 284, F3, 92) (dual of [284, 52, 93]-code) [i]
16Linear OA(3230, 280, F3, 92) (dual of [280, 50, 93]-code) [i]
17Linear OA(3228, 276, F3, 92) (dual of [276, 48, 93]-code) [i]
18Linear OA(3226, 272, F3, 92) (dual of [272, 46, 93]-code) [i]
19Linear OA(3224, 268, F3, 92) (dual of [268, 44, 93]-code) [i]
20Linear OA(959, 109, F9, 30) (dual of [109, 50, 31]-code) [i]Construction XX with Cyclic Codes
21Linear OA(958, 108, F9, 30) (dual of [108, 50, 31]-code) [i]
22Linear OA(958, 103, F9, 32) (dual of [103, 45, 33]-code) [i]
23Linear OA(954, 94, F9, 32) (dual of [94, 40, 33]-code) [i]
24Linear OA(957, 97, F9, 33) (dual of [97, 40, 34]-code) [i]
25Linear OA(960, 100, F9, 34) (dual of [100, 40, 35]-code) [i]
26Linear OA(973, 118, F9, 39) (dual of [118, 45, 40]-code) [i]
27Linear OA(975, 118, F9, 40) (dual of [118, 43, 41]-code) [i]
28Linear OA(977, 122, F9, 40) (dual of [122, 45, 41]-code) [i]
29Linear OA(975, 119, F9, 40) (dual of [119, 44, 41]-code) [i]
30Linear OA(972, 115, F9, 39) (dual of [115, 43, 40]-code) [i]
31Linear OA(974, 115, F9, 40) (dual of [115, 41, 41]-code) [i]
32Linear OA(980, 125, F9, 41) (dual of [125, 45, 42]-code) [i]
33Linear OA(979, 123, F9, 41) (dual of [123, 44, 42]-code) [i]
34Linear OA(974, 116, F9, 40) (dual of [116, 42, 41]-code) [i]
35Linear OA(971, 112, F9, 39) (dual of [112, 41, 40]-code) [i]
36Linear OA(968, 109, F9, 37) (dual of [109, 41, 38]-code) [i]
37Linear OA(973, 112, F9, 40) (dual of [112, 39, 41]-code) [i]
38Linear OA(978, 120, F9, 41) (dual of [120, 42, 42]-code) [i]
39Linear OA(982, 126, F9, 42) (dual of [126, 44, 43]-code) [i]
40Linear OA(973, 113, F9, 40) (dual of [113, 40, 41]-code) [i]
41Linear OA(969, 108, F9, 39) (dual of [108, 39, 40]-code) [i]
42Linear OA(971, 108, F9, 40) (dual of [108, 37, 41]-code) [i]
43Linear OA(981, 123, F9, 42) (dual of [123, 42, 43]-code) [i]
44Linear OA(971, 109, F9, 40) (dual of [109, 38, 41]-code) [i]
45Linear OA(968, 105, F9, 39) (dual of [105, 37, 40]-code) [i]
46Linear OA(976, 115, F9, 41) (dual of [115, 39, 42]-code) [i]
47Linear OA(980, 120, F9, 42) (dual of [120, 40, 43]-code) [i]
48Linear OA(978, 116, F9, 42) (dual of [116, 38, 43]-code) [i]
49Linear OA(960, 94, F9, 36) (dual of [94, 34, 37]-code) [i]
50Linear OA(968, 103, F9, 41) (dual of [103, 35, 42]-code) [i]
51Linear OA(970, 104, F9, 42) (dual of [104, 34, 43]-code) [i]
52Linear OA(979, 114, F9, 44) (dual of [114, 35, 45]-code) [i]
53Linear OA(978, 112, F9, 44) (dual of [112, 34, 45]-code) [i]
54Linear OA(971, 106, F9, 42) (dual of [106, 35, 43]-code) [i]
55Linear OA(973, 107, F9, 43) (dual of [107, 34, 44]-code) [i]
56Linear OA(982, 117, F9, 45) (dual of [117, 35, 46]-code) [i]
57Linear OA(981, 115, F9, 45) (dual of [115, 34, 46]-code) [i]
58Linear OA(974, 109, F9, 43) (dual of [109, 35, 44]-code) [i]
59Linear OA(976, 110, F9, 44) (dual of [110, 34, 45]-code) [i]
60Linear OA(985, 120, F9, 46) (dual of [120, 35, 47]-code) [i]
61Linear OA(984, 118, F9, 46) (dual of [118, 34, 47]-code) [i]
62Linear OOA(945, 40, F9, 2, 30) (dual of [(40, 2), 35, 31]-NRT-code) [i]OOA Folding