Information on Result #714627

Linear OA(842, 63, F8, 29) (dual of [63, 21, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30

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(8105, 126, F8, 59) (dual of [126, 21, 60]-code) [i]Repeating Each Code Word
2Linear OA(8104, 124, F8, 59) (dual of [124, 20, 60]-code) [i]
3Linear OA(8103, 122, F8, 59) (dual of [122, 19, 60]-code) [i]
4Linear OA(8102, 120, F8, 59) (dual of [120, 18, 60]-code) [i]
5Linear OA(8101, 118, F8, 59) (dual of [118, 17, 60]-code) [i]
6Linear OA(852, 84, F8, 29) (dual of [84, 32, 30]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(851, 82, F8, 29) (dual of [82, 31, 30]-code) [i]✔
8Linear OA(850, 81, F8, 29) (dual of [81, 31, 30]-code) [i]✔
9Linear OA(849, 79, F8, 29) (dual of [79, 30, 30]-code) [i]✔
10Linear OA(848, 76, F8, 29) (dual of [76, 28, 30]-code) [i]✔
11Linear OA(847, 74, F8, 29) (dual of [74, 27, 30]-code) [i]✔
12Linear OA(846, 72, F8, 29) (dual of [72, 26, 30]-code) [i]✔
13Linear OA(844, 67, F8, 30) (dual of [67, 23, 31]-code) [i]✔
14Linear OA(847, 70, F8, 31) (dual of [70, 23, 32]-code) [i]✔
15Linear OA(866, 90, F8, 39) (dual of [90, 24, 40]-code) [i]✔
16Linear OA(862, 85, F8, 38) (dual of [85, 23, 39]-code) [i]✔
17Linear OA(865, 88, F8, 39) (dual of [88, 23, 40]-code) [i]✔
18Linear OA(869, 88, F8, 44) (dual of [88, 19, 45]-code) [i]✔
19Linear OA(867, 86, F8, 43) (dual of [86, 19, 44]-code) [i]✔