Information on Result #685874

Linear OA(735, 48, F7, 25) (dual of [48, 13, 26]-code), using contraction based on linear OA(783, 96, F7, 51) (dual of [96, 13, 52]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(745, 58, F7, 31) (dual of [58, 13, 32]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(743, 56, F7, 30) (dual of [56, 13, 31]-code) [i]✔
3Linear OA(760, 73, F7, 38) (dual of [73, 13, 39]-code) [i]✔
4Linear OA(761, 74, F7, 39) (dual of [74, 13, 40]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(755, 68, F7, 35) (dual of [68, 13, 36]-code) [i]✔
6Linear OA(752, 65, F7, 34) (dual of [65, 13, 35]-code) [i]✔
7Linear OA(749, 62, F7, 33) (dual of [62, 13, 34]-code) [i]✔
8Linear OA(746, 59, F7, 32) (dual of [59, 13, 33]-code) [i]✔
9Linear OA(744, 57, F7, 31) (dual of [57, 13, 32]-code) [i]✔
10Linear OA(745, 57, F7, 32) (dual of [57, 12, 33]-code) [i]✔
11Linear OA(738, 51, F7, 27) (dual of [51, 13, 28]-code) [i]✔
12Linear OA(737, 53, F7, 26) (dual of [53, 16, 27]-code) [i]✔
13Linear OA(736, 51, F7, 26) (dual of [51, 15, 27]-code) [i]✔
14Linear OA(748, 61, F7, 33) (dual of [61, 13, 34]-code) [i]✔
15Linear OA(746, 60, F7, 31) (dual of [60, 14, 32]-code) [i]✔Construction XX with a Chain of Cyclic Codes
16Linear OA(743, 57, F7, 29) (dual of [57, 14, 30]-code) [i]✔