Information on Result #685868

Linear OA(737, 48, F7, 26) (dual of [48, 11, 27]-code), using contraction based on linear OA(785, 96, F7, 53) (dual of [96, 11, 54]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [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(743, 54, F7, 31) (dual of [54, 11, 32]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(739, 55, F7, 26) (dual of [55, 16, 27]-code) [i]✔
3Linear OA(760, 71, F7, 39) (dual of [71, 11, 40]-code) [i]✔
4Linear OA(754, 65, F7, 35) (dual of [65, 11, 36]-code) [i]✔
5Linear OA(755, 66, F7, 36) (dual of [66, 11, 37]-code) [i]✔Construction XX with Cyclic Codes
6Linear OA(746, 57, F7, 33) (dual of [57, 11, 34]-code) [i]✔
7Linear OA(744, 55, F7, 32) (dual of [55, 11, 33]-code) [i]✔
8Linear OA(740, 56, F7, 27) (dual of [56, 16, 28]-code) [i]✔
9Linear OA(739, 54, F7, 27) (dual of [54, 15, 28]-code) [i]✔
10Linear OA(738, 51, F7, 27) (dual of [51, 13, 28]-code) [i]✔
11Linear OA(761, 72, F7, 40) (dual of [72, 11, 41]-code) [i]✔Construction XX with a Chain of Cyclic Codes
12Linear OA(756, 66, F7, 37) (dual of [66, 10, 38]-code) [i]✔
13Linear OA(753, 63, F7, 35) (dual of [63, 10, 36]-code) [i]✔
14Linear OA(759, 70, F7, 39) (dual of [70, 11, 40]-code) [i]✔
15Linear OA(758, 68, F7, 39) (dual of [68, 10, 40]-code) [i]✔
16Linear OA(754, 64, F7, 36) (dual of [64, 10, 37]-code) [i]✔
17Linear OA(751, 62, F7, 34) (dual of [62, 11, 35]-code) [i]✔