Information on Result #620500

Linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the BCH-code C(I) with length 73 | 83−1, defining interval I = {−9,12,33,…,9}, and designed minimum distance d ≥ |I|+1 = 55

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(866, 73, F8, 53) (dual of [73, 7, 54]-code) [i]Strength Reduction
2Linear OA(867, 74, F8, 54) (dual of [74, 7, 55]-code) [i]Code Embedding in Larger Space
3Linear OA(865, 72, F8, 53) (dual of [72, 7, 54]-code) [i]Truncation
4Linear OA(864, 71, F8, 52) (dual of [71, 7, 53]-code) [i]
5Linear OA(863, 70, F8, 51) (dual of [70, 7, 52]-code) [i]
6Linear OA(862, 69, F8, 50) (dual of [69, 7, 51]-code) [i]
7Linear OA(861, 68, F8, 49) (dual of [68, 7, 50]-code) [i]
8Linear OA(860, 67, F8, 48) (dual of [67, 7, 49]-code) [i]
9Linear OA(8139, 146, F8, 109) (dual of [146, 7, 110]-code) [i]Repeating Each Code Word
10Linear OA(8138, 144, F8, 109) (dual of [144, 6, 110]-code) [i]
11Linear OA(8137, 142, F8, 109) (dual of [142, 5, 110]-code) [i]
12Linear OA(873, 80, F8, 55) (dual of [80, 7, 56]-code) [i]Juxtaposition
13Linear OA(874, 81, F8, 56) (dual of [81, 7, 57]-code) [i]
14Linear OA(875, 82, F8, 57) (dual of [82, 7, 58]-code) [i]
15Linear OA(876, 83, F8, 58) (dual of [83, 7, 59]-code) [i]
16Linear OA(878, 85, F8, 59) (dual of [85, 7, 60]-code) [i]
17Linear OA(879, 86, F8, 60) (dual of [86, 7, 61]-code) [i]
18Linear OA(880, 87, F8, 61) (dual of [87, 7, 62]-code) [i]
19Linear OA(882, 89, F8, 62) (dual of [89, 7, 63]-code) [i]
20Linear OA(883, 90, F8, 63) (dual of [90, 7, 64]-code) [i]
21Linear OA(885, 92, F8, 64) (dual of [92, 7, 65]-code) [i]
22Linear OA(886, 93, F8, 65) (dual of [93, 7, 66]-code) [i]
23Linear OA(887, 94, F8, 66) (dual of [94, 7, 67]-code) [i]
24Linear OA(888, 95, F8, 67) (dual of [95, 7, 68]-code) [i]
25Linear OA(889, 96, F8, 68) (dual of [96, 7, 69]-code) [i]
26Linear OA(890, 97, F8, 69) (dual of [97, 7, 70]-code) [i]
27Linear OA(893, 100, F8, 70) (dual of [100, 7, 71]-code) [i]
28Linear OA(894, 101, F8, 71) (dual of [101, 7, 72]-code) [i]
29Linear OA(897, 104, F8, 72) (dual of [104, 7, 73]-code) [i]
30Linear OA(898, 105, F8, 73) (dual of [105, 7, 74]-code) [i]
31Linear OA(899, 106, F8, 74) (dual of [106, 7, 75]-code) [i]
32Linear OA(8100, 107, F8, 75) (dual of [107, 7, 76]-code) [i]
33Linear OA(8122, 129, F8, 94) (dual of [129, 7, 95]-code) [i]
34Linear OA(8123, 130, F8, 95) (dual of [130, 7, 96]-code) [i]
35Linear OA(8124, 131, F8, 96) (dual of [131, 7, 97]-code) [i]
36Linear OA(8125, 132, F8, 97) (dual of [132, 7, 98]-code) [i]
37Linear OA(8126, 133, F8, 98) (dual of [133, 7, 99]-code) [i]
38Linear OA(8127, 134, F8, 99) (dual of [134, 7, 100]-code) [i]
39Linear OA(8128, 135, F8, 100) (dual of [135, 7, 101]-code) [i]
40Linear OA(8129, 136, F8, 101) (dual of [136, 7, 102]-code) [i]
41Linear OA(892, 99, F8, 70) (dual of [99, 7, 71]-code) [i]
42Linear OA(896, 103, F8, 72) (dual of [103, 7, 73]-code) [i]
43Linear OA(8131, 138, F8, 102) (dual of [138, 7, 103]-code) [i]
44Linear OA(8148, 155, F8, 115) (dual of [155, 7, 116]-code) [i]
45Linear OA(8130, 137, F8, 102) (dual of [137, 7, 103]-code) [i]