Information on Result #714707

Linear OA(848, 63, F8, 36) (dual of [63, 15, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

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(8111, 126, F8, 73) (dual of [126, 15, 74]-code) [i]Repeating Each Code Word
2Linear OA(8110, 124, F8, 73) (dual of [124, 14, 74]-code) [i]
3Linear OA(8172, 186, F8, 110) (dual of [186, 14, 111]-code) [i]
4Linear OA(8109, 122, F8, 73) (dual of [122, 13, 74]-code) [i]
5Linear OA(8170, 183, F8, 110) (dual of [183, 13, 111]-code) [i]
6Linear OA(8108, 120, F8, 73) (dual of [120, 12, 74]-code) [i]
7Linear OA(8168, 180, F8, 110) (dual of [180, 12, 111]-code) [i]
8Linear OA(8107, 118, F8, 73) (dual of [118, 11, 74]-code) [i]
9Linear OA(8166, 177, F8, 110) (dual of [177, 11, 111]-code) [i]
10Linear OA(8106, 116, F8, 73) (dual of [116, 10, 74]-code) [i]
11Linear OA(8164, 174, F8, 110) (dual of [174, 10, 111]-code) [i]
12Linear OA(869, 102, F8, 36) (dual of [102, 33, 37]-code) [i]✔Construction XX with Cyclic Codes
13Linear OA(868, 100, F8, 36) (dual of [100, 32, 37]-code) [i]✔
14Linear OA(867, 98, F8, 36) (dual of [98, 31, 37]-code) [i]✔
15Linear OA(865, 94, F8, 36) (dual of [94, 29, 37]-code) [i]✔
16Linear OA(863, 90, F8, 36) (dual of [90, 27, 37]-code) [i]✔