Information on Result #614377

Linear OA(737, 344, F7, 15) (dual of [344, 307, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(736, 343, F7, 14) (dual of [343, 307, 15]-code) [i]Truncation
2Linear OA(745, 355, F7, 15) (dual of [355, 310, 16]-code) [i](u, u+v)-Construction
3Linear OA(741, 359, F7, 15) (dual of [359, 318, 16]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(742, 378, F7, 15) (dual of [378, 336, 16]-code) [i]
5Linear OA(743, 414, F7, 15) (dual of [414, 371, 16]-code) [i]
6Linear OA(744, 466, F7, 15) (dual of [466, 422, 16]-code) [i]
7Linear OA(745, 532, F7, 15) (dual of [532, 487, 16]-code) [i]
8Linear OA(744, 352, F7, 15) (dual of [352, 308, 16]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(744, 351, F7, 17) (dual of [351, 307, 18]-code) [i]✔
10Linear OA(738, 351, F7, 13) (dual of [351, 313, 14]-code) [i]✔
11Linear OA(740, 352, F7, 15) (dual of [352, 312, 16]-code) [i]✔
12Linear OA(741, 354, F7, 15) (dual of [354, 313, 16]-code) [i]✔
13Linear OA(739, 352, F7, 14) (dual of [352, 313, 15]-code) [i]✔
14Linear OA(753, 360, F7, 19) (dual of [360, 307, 20]-code) [i]✔
15Linear OA(744, 363, F7, 15) (dual of [363, 319, 16]-code) [i]✔
16Linear OA(741, 360, F7, 13) (dual of [360, 319, 14]-code) [i]✔
17Linear OA(762, 369, F7, 21) (dual of [369, 307, 22]-code) [i]✔
18Linear OA(772, 376, F7, 23) (dual of [376, 304, 24]-code) [i]✔Construction XX with a Chain of Cyclic Codes
19Linear OA(771, 374, F7, 23) (dual of [374, 303, 24]-code) [i]✔
20Linear OA(770, 372, F7, 23) (dual of [372, 302, 24]-code) [i]✔
21Linear OA(761, 363, F7, 21) (dual of [363, 302, 22]-code) [i]✔
22Linear OA(767, 376, F7, 21) (dual of [376, 309, 22]-code) [i]✔
23Linear OA(766, 374, F7, 21) (dual of [374, 308, 22]-code) [i]✔
24Linear OA(752, 354, F7, 19) (dual of [354, 302, 20]-code) [i]✔
25Linear OA(759, 369, F7, 19) (dual of [369, 310, 20]-code) [i]✔
26Linear OA(758, 367, F7, 19) (dual of [367, 309, 20]-code) [i]✔
27Linear OA(757, 365, F7, 19) (dual of [365, 308, 20]-code) [i]✔
28Linear OA(749, 358, F7, 17) (dual of [358, 309, 18]-code) [i]✔
29Linear OA(748, 356, F7, 17) (dual of [356, 308, 18]-code) [i]✔
30Linear OA(743, 357, F7, 15) (dual of [357, 314, 16]-code) [i]✔
31Linear OA(740, 354, F7, 13) (dual of [354, 314, 14]-code) [i]✔
32Linear OOA(737, 172, F7, 2, 15) (dual of [(172, 2), 307, 16]-NRT-code) [i]OOA Folding