Information on Result #614301

Linear OA(722, 343, F7, 9) (dual of [343, 321, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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(726, 351, F7, 9) (dual of [351, 325, 10]-code) [i](u, u+v)-Construction
2Linear OA(727, 354, F7, 9) (dual of [354, 327, 10]-code) [i]
3Linear OA(725, 346, F7, 10) (dual of [346, 321, 11]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(722, 346, F7, 9) (dual of [346, 324, 10]-code) [i]✔
5Linear OA(729, 350, F7, 11) (dual of [350, 321, 12]-code) [i]✔
6Linear OA(724, 351, F7, 9) (dual of [351, 327, 10]-code) [i]✔
7Linear OA(734, 355, F7, 12) (dual of [355, 321, 13]-code) [i]✔
8Linear OA(726, 356, F7, 9) (dual of [356, 330, 10]-code) [i]✔
9Linear OA(738, 359, F7, 13) (dual of [359, 321, 14]-code) [i]✔
10Linear OA(744, 365, F7, 15) (dual of [365, 321, 16]-code) [i]✔
11Linear OA(749, 369, F7, 16) (dual of [369, 320, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(748, 367, F7, 16) (dual of [367, 319, 17]-code) [i]✔
13Linear OA(742, 361, F7, 14) (dual of [361, 319, 15]-code) [i]✔
14Linear OA(745, 367, F7, 15) (dual of [367, 322, 16]-code) [i]✔
15Linear OA(739, 361, F7, 13) (dual of [361, 322, 14]-code) [i]✔
16Linear OA(733, 352, F7, 12) (dual of [352, 319, 13]-code) [i]✔
17Linear OA(730, 352, F7, 11) (dual of [352, 322, 12]-code) [i]✔
18Linear OA(727, 358, F7, 9) (dual of [358, 331, 10]-code) [i]✔