Information on Result #614342

Linear OA(722, 49, F7, 13) (dual of [49, 27, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(726, 53, F7, 16) (dual of [53, 27, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(722, 51, F7, 13) (dual of [51, 29, 14]-code) [i]✔
3Linear OA(728, 55, F7, 17) (dual of [55, 27, 18]-code) [i]✔
4Linear OA(723, 54, F7, 13) (dual of [54, 31, 14]-code) [i]✔
5Linear OA(731, 57, F7, 18) (dual of [57, 26, 19]-code) [i]✔
6Linear OA(732, 59, F7, 18) (dual of [59, 27, 19]-code) [i]✔
7Linear OA(724, 57, F7, 13) (dual of [57, 33, 14]-code) [i]✔
8Linear OA(736, 63, F7, 19) (dual of [63, 27, 20]-code) [i]✔
9Linear OA(739, 66, F7, 20) (dual of [66, 27, 21]-code) [i]✔
10Linear OA(747, 74, F7, 24) (dual of [74, 27, 25]-code) [i]✔
11Linear OA(743, 69, F7, 22) (dual of [69, 26, 23]-code) [i]✔
12Linear OA(749, 76, F7, 25) (dual of [76, 27, 26]-code) [i]✔
13Linear OA(746, 72, F7, 24) (dual of [72, 26, 25]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(745, 71, F7, 24) (dual of [71, 26, 25]-code) [i]✔
15Linear OA(738, 64, F7, 20) (dual of [64, 26, 21]-code) [i]✔
16Linear OA(735, 61, F7, 19) (dual of [61, 26, 20]-code) [i]✔
17Linear OA(734, 60, F7, 19) (dual of [60, 26, 20]-code) [i]✔
18Linear OA(733, 61, F7, 18) (dual of [61, 28, 19]-code) [i]✔