Information on Result #701093

Linear OA(447, 63, F4, 27) (dual of [63, 16, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28

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(4110, 126, F4, 55) (dual of [126, 16, 56]-code) [i]Repeating Each Code Word
2Linear OA(4109, 124, F4, 55) (dual of [124, 15, 56]-code) [i]
3Linear OA(4108, 122, F4, 55) (dual of [122, 14, 56]-code) [i]
4Linear OA(4107, 120, F4, 55) (dual of [120, 13, 56]-code) [i]
5Linear OA(4106, 118, F4, 55) (dual of [118, 12, 56]-code) [i]
6Linear OA(4105, 116, F4, 55) (dual of [116, 11, 56]-code) [i]
7Linear OA(2157, 189, F2, 55) (dual of [189, 32, 56]-code) [i]Concatenation of Two Codes
8Linear OA(2156, 186, F2, 55) (dual of [186, 30, 56]-code) [i]
9Linear OA(2155, 183, F2, 55) (dual of [183, 28, 56]-code) [i]
10Linear OA(2154, 180, F2, 55) (dual of [180, 26, 56]-code) [i]
11Linear OA(450, 69, F4, 28) (dual of [69, 19, 29]-code) [i]✔Construction XX with Cyclic Codes
12Linear OA(457, 76, F4, 31) (dual of [76, 19, 32]-code) [i]✔
13Linear OA(462, 81, F4, 32) (dual of [81, 19, 33]-code) [i]✔
14Linear OA(455, 71, F4, 31) (dual of [71, 16, 32]-code) [i]✔
15Linear OA(462, 78, F4, 34) (dual of [78, 16, 35]-code) [i]✔
16Linear OA(459, 75, F4, 32) (dual of [75, 16, 33]-code) [i]✔