Information on Result #700640

Linear OA(2113, 127, F2, 51) (dual of [127, 14, 52]-code), using the primitive cyclic code C(A) with length 127 = 27−1, defining set A = {0,1,3,5,7,9,11,13,15,19,21,23,27,29,31,43,63}, and minimum distance d ≥ |{−4,−3,…,46}|+1 = 52 (BCH-bound)

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2126, 155, F2, 51) (dual of [155, 29, 52]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2123, 152, F2, 50) (dual of [152, 29, 51]-code) [i]✔
3Linear OA(2119, 148, F2, 48) (dual of [148, 29, 49]-code) [i]✔
4Linear OA(2122, 147, F2, 50) (dual of [147, 25, 51]-code) [i]✔
5Linear OA(2118, 143, F2, 48) (dual of [143, 25, 49]-code) [i]✔
6Linear OA(2123, 151, F2, 51) (dual of [151, 28, 52]-code) [i]✔
7Linear OA(2119, 147, F2, 49) (dual of [147, 28, 50]-code) [i]✔
8Linear OA(2122, 147, F2, 51) (dual of [147, 25, 52]-code) [i]✔
9Linear OA(2118, 143, F2, 49) (dual of [143, 25, 50]-code) [i]✔
10Linear OA(2146, 168, F2, 60) (dual of [168, 22, 61]-code) [i]✔
11Linear OA(2140, 162, F2, 59) (dual of [162, 22, 60]-code) [i]✔
12Linear OA(2137, 159, F2, 58) (dual of [159, 22, 59]-code) [i]✔
13Linear OA(2133, 155, F2, 56) (dual of [155, 22, 57]-code) [i]✔
14Linear OA(2145, 166, F2, 60) (dual of [166, 21, 61]-code) [i]✔
15Linear OA(2144, 164, F2, 60) (dual of [164, 20, 61]-code) [i]✔
16Linear OA(2136, 156, F2, 58) (dual of [156, 20, 59]-code) [i]✔
17Linear OA(2132, 152, F2, 56) (dual of [152, 20, 57]-code) [i]✔
18Linear OA(2150, 171, F2, 62) (dual of [171, 21, 63]-code) [i]✔
19Linear OA(2137, 158, F2, 59) (dual of [158, 21, 60]-code) [i]✔
20Linear OA(2133, 154, F2, 57) (dual of [154, 21, 58]-code) [i]✔