Information on Result #701336

Linear OA(718, 48, F7, 11) (dual of [48, 30, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(7109, 392, F7, 35) (dual of [392, 283, 36]-code) [i]Construction X with Cyclic Codes
2Linear OA(7103, 392, F7, 33) (dual of [392, 289, 34]-code) [i]
3Linear OA(797, 392, F7, 31) (dual of [392, 295, 32]-code) [i]
4Linear OA(721, 58, F7, 11) (dual of [58, 37, 12]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(720, 52, F7, 12) (dual of [52, 32, 13]-code) [i]✔
6Linear OA(723, 55, F7, 13) (dual of [55, 32, 14]-code) [i]✔
7Linear OA(727, 61, F7, 14) (dual of [61, 34, 15]-code) [i]✔
8Linear OA(726, 58, F7, 14) (dual of [58, 32, 15]-code) [i]✔
9Linear OA(722, 52, F7, 13) (dual of [52, 30, 14]-code) [i]✔
10Linear OA(725, 55, F7, 14) (dual of [55, 30, 15]-code) [i]✔
11Linear OA(734, 64, F7, 18) (dual of [64, 30, 19]-code) [i]✔
12Linear OA(737, 67, F7, 19) (dual of [67, 30, 20]-code) [i]✔
13Linear OA(744, 72, F7, 23) (dual of [72, 28, 24]-code) [i]✔
14Linear OA(746, 74, F7, 24) (dual of [74, 28, 25]-code) [i]✔
15Linear OA(7109, 391, F7, 36) (dual of [391, 282, 37]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
16Linear OA(7100, 391, F7, 32) (dual of [391, 291, 33]-code) [i]