Information on Result #685287

Linear OA(737, 343, F7, 15) (dual of [343, 306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(740, 346, F7, 16) (dual of [346, 306, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(738, 347, F7, 15) (dual of [347, 309, 16]-code) [i]✔
3Linear OA(739, 351, F7, 15) (dual of [351, 312, 16]-code) [i]✔
4Linear OA(749, 355, F7, 18) (dual of [355, 306, 19]-code) [i]✔
5Linear OA(741, 356, F7, 15) (dual of [356, 315, 16]-code) [i]✔
6Linear OA(743, 361, F7, 15) (dual of [361, 318, 16]-code) [i]✔
7Linear OA(741, 359, F7, 14) (dual of [359, 318, 15]-code) [i]✔
8Linear OA(758, 364, F7, 20) (dual of [364, 306, 21]-code) [i]✔
9Linear OA(744, 365, F7, 15) (dual of [365, 321, 16]-code) [i]✔
10Linear OA(765, 369, F7, 22) (dual of [369, 304, 23]-code) [i]✔
11Linear OA(766, 372, F7, 22) (dual of [372, 306, 23]-code) [i]✔
12Linear OA(744, 368, F7, 14) (dual of [368, 324, 15]-code) [i]✔
13Linear OA(770, 376, F7, 23) (dual of [376, 306, 24]-code) [i]✔
14Linear OA(774, 380, F7, 24) (dual of [380, 306, 25]-code) [i]✔
15Linear OA(778, 384, F7, 25) (dual of [384, 306, 26]-code) [i]✔
16Linear OA(742, 360, F7, 15) (dual of [360, 318, 16]-code) [i]✔
17Linear OA(765, 371, F7, 22) (dual of [371, 306, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(764, 369, F7, 22) (dual of [369, 305, 23]-code) [i]✔
19Linear OA(763, 367, F7, 22) (dual of [367, 304, 23]-code) [i]✔
20Linear OA(766, 375, F7, 21) (dual of [375, 309, 22]-code) [i]✔
21Linear OA(765, 373, F7, 21) (dual of [373, 308, 22]-code) [i]✔
22Linear OA(757, 361, F7, 20) (dual of [361, 304, 21]-code) [i]✔
23Linear OA(762, 371, F7, 20) (dual of [371, 309, 21]-code) [i]✔
24Linear OA(761, 369, F7, 20) (dual of [369, 308, 21]-code) [i]✔
25Linear OA(760, 367, F7, 20) (dual of [367, 307, 21]-code) [i]✔
26Linear OA(748, 352, F7, 18) (dual of [352, 304, 19]-code) [i]✔
27Linear OA(751, 358, F7, 18) (dual of [358, 307, 19]-code) [i]✔
28Linear OA(742, 358, F7, 15) (dual of [358, 316, 16]-code) [i]✔
29Linear OA(742, 361, F7, 14) (dual of [361, 319, 15]-code) [i]✔
30Linear OA(745, 367, F7, 15) (dual of [367, 322, 16]-code) [i]✔