Information on Result #685815

Linear OA(738, 48, F7, 27) (dual of [48, 10, 28]-code), using contraction based on linear OA(786, 96, F7, 55) (dual of [96, 10, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,53], and minimum distance d ≥ |{−1,0,…,53}|+1 = 56 (BCH-bound) [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(744, 54, F7, 32) (dual of [54, 10, 33]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(746, 56, F7, 33) (dual of [56, 10, 34]-code) [i]✔
3Linear OA(739, 53, F7, 27) (dual of [53, 14, 28]-code) [i]✔
4Linear OA(740, 55, F7, 27) (dual of [55, 15, 28]-code) [i]✔
5Linear OA(755, 65, F7, 36) (dual of [65, 10, 37]-code) [i]✔
6Linear OA(742, 58, F7, 27) (dual of [58, 16, 28]-code) [i]✔
7Linear OA(755, 66, F7, 36) (dual of [66, 11, 37]-code) [i]✔Construction XX with Cyclic Codes
8Linear OA(746, 57, F7, 33) (dual of [57, 11, 34]-code) [i]✔
9Linear OA(744, 55, F7, 32) (dual of [55, 11, 33]-code) [i]✔
10Linear OA(740, 56, F7, 27) (dual of [56, 16, 28]-code) [i]✔
11Linear OA(739, 54, F7, 27) (dual of [54, 15, 28]-code) [i]✔
12Linear OA(738, 51, F7, 27) (dual of [51, 13, 28]-code) [i]✔
13Linear OA(760, 70, F7, 40) (dual of [70, 10, 41]-code) [i]✔Construction XX with a Chain of Cyclic Codes
14Linear OA(748, 59, F7, 33) (dual of [59, 11, 34]-code) [i]✔
15Linear OA(741, 57, F7, 27) (dual of [57, 16, 28]-code) [i]✔