Information on Result #614505

Linear OA(733, 49, F7, 24) (dual of [49, 16, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(733, 49, F7, 23) (dual of [49, 16, 24]-code) [i]Strength Reduction
2Linear OA(733, 49, F7, 22) (dual of [49, 16, 23]-code) [i]
3Linear OA(736, 54, F7, 24) (dual of [54, 18, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(737, 57, F7, 24) (dual of [57, 20, 25]-code) [i]✔
5Linear OA(739, 60, F7, 24) (dual of [60, 21, 25]-code) [i]✔
6Linear OA(740, 62, F7, 24) (dual of [62, 22, 25]-code) [i]✔
7Linear OA(738, 60, F7, 23) (dual of [60, 22, 24]-code) [i]✔
8Linear OA(736, 57, F7, 22) (dual of [57, 21, 23]-code) [i]✔
9Linear OA(735, 57, F7, 21) (dual of [57, 22, 22]-code) [i]✔
10Linear OA(741, 65, F7, 24) (dual of [65, 24, 25]-code) [i]✔
11Linear OA(742, 67, F7, 24) (dual of [67, 25, 25]-code) [i]✔
12Linear OA(747, 74, F7, 24) (dual of [74, 27, 25]-code) [i]✔
13Linear OA(743, 69, F7, 22) (dual of [69, 26, 23]-code) [i]✔
14Linear OA(739, 61, F7, 24) (dual of [61, 22, 25]-code) [i]✔
15Linear OA(740, 63, F7, 24) (dual of [63, 23, 25]-code) [i]✔
16Linear OA(739, 63, F7, 23) (dual of [63, 24, 24]-code) [i]✔
17Linear OA(739, 64, F7, 22) (dual of [64, 25, 23]-code) [i]✔
18Linear OA(763, 79, F7, 38) (dual of [79, 16, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
19Linear OA(762, 78, F7, 38) (dual of [78, 16, 39]-code) [i]✔
20Linear OA(754, 70, F7, 34) (dual of [70, 16, 35]-code) [i]✔
21Linear OA(756, 74, F7, 33) (dual of [74, 18, 34]-code) [i]✔
22Linear OA(755, 72, F7, 33) (dual of [72, 17, 34]-code) [i]✔
23Linear OA(745, 61, F7, 29) (dual of [61, 16, 30]-code) [i]✔
24Linear OA(754, 72, F7, 32) (dual of [72, 18, 33]-code) [i]✔
25Linear OA(753, 70, F7, 32) (dual of [70, 17, 33]-code) [i]✔
26Linear OA(748, 65, F7, 28) (dual of [65, 17, 29]-code) [i]✔
27Linear OA(744, 61, F7, 27) (dual of [61, 17, 28]-code) [i]✔
28Linear OA(741, 58, F7, 26) (dual of [58, 17, 27]-code) [i]✔
29Linear OA(737, 58, F7, 23) (dual of [58, 21, 24]-code) [i]✔
30Linear OA(738, 61, F7, 22) (dual of [61, 23, 23]-code) [i]✔
31Linear OA(746, 72, F7, 24) (dual of [72, 26, 25]-code) [i]✔
32Linear OA(745, 71, F7, 24) (dual of [71, 26, 25]-code) [i]✔
33Linear OA(748, 64, F7, 32) (dual of [64, 16, 33]-code) [i]✔
34Linear OA(740, 65, F7, 23) (dual of [65, 25, 24]-code) [i]✔