Information on Result #685281

Linear OA(749, 343, F7, 19) (dual of [343, 294, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(752, 346, F7, 20) (dual of [346, 294, 21]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(749, 346, F7, 19) (dual of [346, 297, 20]-code) [i]
3Linear OA(757, 351, F7, 22) (dual of [351, 294, 23]-code) [i]
4Linear OA(762, 356, F7, 23) (dual of [356, 294, 24]-code) [i]
5Linear OA(752, 355, F7, 19) (dual of [355, 303, 20]-code) [i]
6Linear OA(767, 361, F7, 24) (dual of [361, 294, 25]-code) [i]
7Linear OA(771, 365, F7, 25) (dual of [365, 294, 26]-code) [i]
8Linear OA(756, 365, F7, 19) (dual of [365, 309, 20]-code) [i]
9Linear OA(777, 369, F7, 26) (dual of [369, 292, 27]-code) [i]
10Linear OA(778, 372, F7, 26) (dual of [372, 294, 27]-code) [i]
11Linear OA(760, 372, F7, 19) (dual of [372, 312, 20]-code) [i]
12Linear OA(782, 376, F7, 27) (dual of [376, 294, 28]-code) [i]
13Linear OA(792, 386, F7, 30) (dual of [386, 294, 31]-code) [i]
14Linear OA(777, 371, F7, 26) (dual of [371, 294, 27]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(776, 369, F7, 26) (dual of [369, 293, 27]-code) [i]
16Linear OA(775, 367, F7, 26) (dual of [367, 292, 27]-code) [i]
17Linear OA(774, 371, F7, 25) (dual of [371, 297, 26]-code) [i]
18Linear OA(773, 369, F7, 25) (dual of [369, 296, 26]-code) [i]
19Linear OA(772, 367, F7, 25) (dual of [367, 295, 26]-code) [i]
20Linear OA(766, 358, F7, 24) (dual of [358, 292, 25]-code) [i]
21Linear OA(763, 358, F7, 23) (dual of [358, 295, 24]-code) [i]
22Linear OA(759, 371, F7, 19) (dual of [371, 312, 20]-code) [i]
23Linear OA(758, 369, F7, 19) (dual of [369, 311, 20]-code) [i]
24Linear OA(757, 367, F7, 19) (dual of [367, 310, 20]-code) [i]