Information on Result #713746

Linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(761, 293, F7, 2, 24) (dual of [(293, 2), 525, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(761, 293, F7, 3, 24) (dual of [(293, 3), 818, 25]-NRT-code) [i]
3Digital (37, 61, 293)-net over F7 [i]
4Linear OA(769, 356, F7, 26) (dual of [356, 287, 27]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(764, 348, F7, 25) (dual of [348, 284, 26]-code) [i]✔
6Linear OA(796, 391, F7, 31) (dual of [391, 295, 32]-code) [i]✔
7Linear OA(773, 357, F7, 27) (dual of [357, 284, 28]-code) [i]✔
8Linear OA(768, 352, F7, 26) (dual of [352, 284, 27]-code) [i]✔
9Linear OA(7101, 397, F7, 32) (dual of [397, 296, 33]-code) [i]✔
10Linear OA(778, 365, F7, 28) (dual of [365, 287, 29]-code) [i]✔
11Linear OA(772, 353, F7, 27) (dual of [353, 281, 28]-code) [i]✔
12Linear OA(7100, 393, F7, 32) (dual of [393, 293, 33]-code) [i]✔
13Linear OA(777, 361, F7, 28) (dual of [361, 284, 29]-code) [i]✔
14Linear OA(7104, 394, F7, 33) (dual of [394, 290, 34]-code) [i]✔
15Linear OA(790, 376, F7, 31) (dual of [376, 286, 32]-code) [i]✔
16Linear OA(795, 382, F7, 32) (dual of [382, 287, 33]-code) [i]✔
17Linear OA(789, 372, F7, 31) (dual of [372, 283, 32]-code) [i]✔
18Linear OA(794, 378, F7, 32) (dual of [378, 284, 33]-code) [i]✔
19Linear OA(767, 348, F7, 26) (dual of [348, 281, 27]-code) [i]✔
20Linear OA(771, 352, F7, 27) (dual of [352, 281, 28]-code) [i]✔
21Linear OA(775, 353, F7, 28) (dual of [353, 278, 29]-code) [i]✔
22Linear OA(792, 372, F7, 32) (dual of [372, 280, 33]-code) [i]✔
23Linear OA(797, 378, F7, 33) (dual of [378, 281, 34]-code) [i]✔
24Linear OA(775, 356, F7, 28) (dual of [356, 281, 29]-code) [i]✔
25Linear OA(796, 376, F7, 33) (dual of [376, 280, 34]-code) [i]✔
26Linear OA(7101, 382, F7, 34) (dual of [382, 281, 35]-code) [i]✔
27Linear OA(7106, 387, F7, 35) (dual of [387, 281, 36]-code) [i]✔
28Linear OA(7104, 385, F7, 35) (dual of [385, 281, 36]-code) [i]✔
29Linear OA(7107, 387, F7, 36) (dual of [387, 280, 37]-code) [i]✔