Information on Result #614309

Linear OA(725, 343, F7, 10) (dual of [343, 318, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(728, 346, F7, 11) (dual of [346, 318, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(725, 346, F7, 10) (dual of [346, 321, 11]-code) [i]✔
3Linear OA(732, 350, F7, 12) (dual of [350, 318, 13]-code) [i]✔
4Linear OA(726, 350, F7, 10) (dual of [350, 324, 11]-code) [i]✔
5Linear OA(737, 355, F7, 13) (dual of [355, 318, 14]-code) [i]✔
6Linear OA(729, 356, F7, 10) (dual of [356, 327, 11]-code) [i]✔
7Linear OA(743, 361, F7, 15) (dual of [361, 318, 16]-code) [i]✔
8Linear OA(741, 359, F7, 14) (dual of [359, 318, 15]-code) [i]✔
9Linear OA(747, 365, F7, 16) (dual of [365, 318, 17]-code) [i]✔
10Linear OA(742, 360, F7, 15) (dual of [360, 318, 16]-code) [i]✔
11Linear OA(752, 369, F7, 17) (dual of [369, 317, 18]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(751, 367, F7, 17) (dual of [367, 316, 18]-code) [i]✔
13Linear OA(749, 369, F7, 16) (dual of [369, 320, 17]-code) [i]✔
14Linear OA(748, 367, F7, 16) (dual of [367, 319, 17]-code) [i]✔
15Linear OA(742, 358, F7, 15) (dual of [358, 316, 16]-code) [i]✔
16Linear OA(742, 361, F7, 14) (dual of [361, 319, 15]-code) [i]✔
17Linear OA(736, 352, F7, 13) (dual of [352, 316, 14]-code) [i]✔
18Linear OA(733, 352, F7, 12) (dual of [352, 319, 13]-code) [i]✔
19Linear OA(728, 353, F7, 10) (dual of [353, 325, 11]-code) [i]✔