Information on Result #614561

Linear OA(773, 344, F7, 29) (dual of [344, 271, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(772, 343, F7, 28) (dual of [343, 271, 29]-code) [i]Truncation
2Linear OA(789, 363, F7, 29) (dual of [363, 274, 30]-code) [i](u, u+v)-Construction
3Linear OA(774, 349, F7, 29) (dual of [349, 275, 30]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(775, 363, F7, 29) (dual of [363, 288, 30]-code) [i]
5Linear OA(776, 385, F7, 29) (dual of [385, 309, 30]-code) [i]
6Linear OA(786, 358, F7, 29) (dual of [358, 272, 30]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(780, 351, F7, 31) (dual of [351, 271, 32]-code) [i]✔
8Linear OA(774, 351, F7, 27) (dual of [351, 277, 28]-code) [i]✔
9Linear OA(776, 352, F7, 29) (dual of [352, 276, 30]-code) [i]✔
10Linear OA(777, 354, F7, 29) (dual of [354, 277, 30]-code) [i]✔
11Linear OA(775, 352, F7, 28) (dual of [352, 277, 29]-code) [i]✔
12Linear OA(789, 360, F7, 33) (dual of [360, 271, 34]-code) [i]✔
13Linear OA(780, 363, F7, 29) (dual of [363, 283, 30]-code) [i]✔
14Linear OA(777, 360, F7, 27) (dual of [360, 283, 28]-code) [i]✔
15Linear OA(798, 369, F7, 35) (dual of [369, 271, 36]-code) [i]✔
16Linear OA(784, 371, F7, 29) (dual of [371, 287, 30]-code) [i]✔
17Linear OA(785, 374, F7, 29) (dual of [374, 289, 30]-code) [i]✔
18Linear OA(780, 369, F7, 27) (dual of [369, 289, 28]-code) [i]✔
19Linear OA(7109, 380, F7, 37) (dual of [380, 271, 38]-code) [i]✔
20Linear OA(787, 382, F7, 29) (dual of [382, 295, 30]-code) [i]✔
21Linear OA(7108, 376, F7, 37) (dual of [376, 268, 38]-code) [i]✔Construction XX with a Chain of Cyclic Codes
22Linear OA(7107, 374, F7, 37) (dual of [374, 267, 38]-code) [i]✔
23Linear OA(7106, 372, F7, 37) (dual of [372, 266, 38]-code) [i]✔
24Linear OA(797, 363, F7, 35) (dual of [363, 266, 36]-code) [i]✔
25Linear OA(7104, 378, F7, 35) (dual of [378, 274, 36]-code) [i]✔
26Linear OA(7103, 376, F7, 35) (dual of [376, 273, 36]-code) [i]✔
27Linear OA(7102, 374, F7, 35) (dual of [374, 272, 36]-code) [i]✔
28Linear OA(788, 354, F7, 33) (dual of [354, 266, 34]-code) [i]✔
29Linear OA(795, 369, F7, 33) (dual of [369, 274, 34]-code) [i]✔
30Linear OA(794, 367, F7, 33) (dual of [367, 273, 34]-code) [i]✔
31Linear OA(793, 365, F7, 33) (dual of [365, 272, 34]-code) [i]✔
32Linear OA(785, 358, F7, 31) (dual of [358, 273, 32]-code) [i]✔
33Linear OA(784, 356, F7, 31) (dual of [356, 272, 32]-code) [i]✔
34Linear OA(779, 357, F7, 29) (dual of [357, 278, 30]-code) [i]✔
35Linear OA(776, 354, F7, 27) (dual of [354, 278, 28]-code) [i]✔
36Linear OA(783, 368, F7, 29) (dual of [368, 285, 30]-code) [i]✔
37Linear OA(782, 366, F7, 29) (dual of [366, 284, 30]-code) [i]✔
38Linear OA(779, 363, F7, 27) (dual of [363, 284, 28]-code) [i]✔
39Linear OA(784, 376, F7, 27) (dual of [376, 292, 28]-code) [i]✔
40Linear OA(783, 374, F7, 27) (dual of [374, 291, 28]-code) [i]✔
41Linear OA(782, 372, F7, 27) (dual of [372, 290, 28]-code) [i]✔
42Linear OOA(773, 172, F7, 2, 29) (dual of [(172, 2), 271, 30]-NRT-code) [i]OOA Folding