Information on Result #685159

Linear OA(731, 344, F7, 11) (dual of [344, 313, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(738, 351, F7, 13) (dual of [351, 313, 14]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(740, 352, F7, 15) (dual of [352, 312, 16]-code) [i]✔
3Linear OA(741, 354, F7, 15) (dual of [354, 313, 16]-code) [i]✔
4Linear OA(739, 352, F7, 14) (dual of [352, 313, 15]-code) [i]✔
5Linear OA(732, 351, F7, 11) (dual of [351, 319, 12]-code) [i]✔
6Linear OA(750, 363, F7, 17) (dual of [363, 313, 18]-code) [i]✔
7Linear OA(760, 371, F7, 19) (dual of [371, 311, 20]-code) [i]✔
8Linear OA(767, 376, F7, 21) (dual of [376, 309, 22]-code) [i]✔Construction XX with a Chain of Cyclic Codes
9Linear OA(766, 374, F7, 21) (dual of [374, 308, 22]-code) [i]✔
10Linear OA(759, 369, F7, 19) (dual of [369, 310, 20]-code) [i]✔
11Linear OA(758, 367, F7, 19) (dual of [367, 309, 20]-code) [i]✔
12Linear OA(757, 365, F7, 19) (dual of [365, 308, 20]-code) [i]✔
13Linear OA(749, 358, F7, 17) (dual of [358, 309, 18]-code) [i]✔
14Linear OA(748, 356, F7, 17) (dual of [356, 308, 18]-code) [i]✔
15Linear OA(752, 366, F7, 17) (dual of [366, 314, 18]-code) [i]✔
16Linear OA(743, 357, F7, 15) (dual of [357, 314, 16]-code) [i]✔
17Linear OA(740, 354, F7, 13) (dual of [354, 314, 14]-code) [i]✔